Table of Contents
119 relations: Absolute value, Alain Connes, Andrey Kolmogorov, Avner Friedman, Axiom of choice, Baire category theorem, Banach space, Barry Simon, Basis (linear algebra), Boolean prime ideal theorem, Bounded operator, C*-algebra, Calculus of variations, Cardinal number, Closed graph theorem (functional analysis), Combinatorics, Compact space, Complete metric space, Complex number, Continuous function, Continuous linear operator, Counting measure, Derivative, Differential equation, Dimension (vector space), Dual space, Eigenfunction, Ergodic theory, Erwin Kreyszig, Essential infimum and essential supremum, Fourier analysis, Fourier transform, Fréchet derivative, Fréchet space, Frigyes Riesz, Function space, Functional (mathematics), George Mackey, Gerald Teschl, Haïm Brezis, Hahn–Banach theorem, Hans Hahn (mathematician), Hausdorff space, Higher-order function, Hilbert space, Hugo Steinhaus, Integer, Integral, Integral equation, Invariant subspace, ... Expand index (69 more) »
Absolute value
In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign.
See Functional analysis and Absolute value
Alain Connes
Alain Connes (born 1 April 1947 in Draguignan) is a French mathematician, known for his contributions to the study of operator algebras and noncommutative geometry.
See Functional analysis and Alain Connes
Andrey Kolmogorov
Andrey Nikolaevich Kolmogorov (a, 25 April 1903 – 20 October 1987) was a Soviet mathematician who contributed to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity.
See Functional analysis and Andrey Kolmogorov
Avner Friedman
Avner Friedman (אבנר פרידמן; born November 19, 1932) is Distinguished Professor of Mathematics and Physical Sciences at Ohio State University.
See Functional analysis and Avner Friedman
Axiom of choice
In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty.
See Functional analysis and Axiom of choice
Baire category theorem
The Baire category theorem (BCT) is an important result in general topology and functional analysis.
See Functional analysis and Baire category theorem
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
See Functional analysis and Banach space
Barry Simon
Barry Martin Simon (born 16 April 1946) is an American mathematical physicist and was the IBM professor of Mathematics and Theoretical Physics at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics (particularly Schrödinger operators), including the connections to atomic and molecular physics.
See Functional analysis and Barry Simon
Basis (linear algebra)
In mathematics, a set of vectors in a vector space is called a basis (bases) if every element of may be written in a unique way as a finite linear combination of elements of.
See Functional analysis and Basis (linear algebra)
Boolean prime ideal theorem
In mathematics, the Boolean prime ideal theorem states that ideals in a Boolean algebra can be extended to prime ideals.
See Functional analysis and Boolean prime ideal theorem
Bounded operator
In functional analysis and operator theory, a bounded linear operator is a linear transformation L: X \to Y between topological vector spaces (TVSs) X and Y that maps bounded subsets of X to bounded subsets of Y. If X and Y are normed vector spaces (a special type of TVS), then L is bounded if and only if there exists some M > 0 such that for all x \in X, \|Lx\|_Y \leq M \|x\|_X.
See Functional analysis and Bounded operator
C*-algebra
In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint.
See Functional analysis and C*-algebra
Calculus of variations
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.
See Functional analysis and Calculus of variations
Cardinal number
In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.
See Functional analysis and Cardinal number
Closed graph theorem (functional analysis)
In mathematics, particularly in functional analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological property of their graph.
See Functional analysis and Closed graph theorem (functional analysis)
Combinatorics
Combinatorics is an area of mathematics primarily concerned with the counting, selecting and arranging of objects, both as a means and as an end in itself.
See Functional analysis and Combinatorics
Compact space
In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space.
See Functional analysis and Compact space
Complete metric space
In mathematical analysis, a metric space is called complete (or a Cauchy space) if every Cauchy sequence of points in has a limit that is also in.
See Functional analysis and Complete metric space
Complex number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.
See Functional analysis and Complex number
Continuous function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function.
See Functional analysis and Continuous function
Continuous linear operator
In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces.
See Functional analysis and Continuous linear operator
Counting measure
In mathematics, specifically measure theory, the counting measure is an intuitive way to put a measure on any set – the "size" of a subset is taken to be the number of elements in the subset if the subset has finitely many elements, and infinity \infty if the subset is infinite.
See Functional analysis and Counting measure
Derivative
The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function's output with respect to its input.
See Functional analysis and Derivative
Differential equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.
See Functional analysis and Differential equation
Dimension (vector space)
In mathematics, the dimension of a vector space V is the cardinality (i.e., the number of vectors) of a basis of V over its base field.
See Functional analysis and Dimension (vector space)
Dual space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
See Functional analysis and Dual space
Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.
See Functional analysis and Eigenfunction
Ergodic theory
Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity.
See Functional analysis and Ergodic theory
Erwin Kreyszig
Erwin Otto Kreyszig (January 6, 1922 in Pirna, Germany – December 12, 2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada.
See Functional analysis and Erwin Kreyszig
Essential infimum and essential supremum
In mathematics, the concepts of essential infimum and essential supremum are related to the notions of infimum and supremum, but adapted to measure theory and functional analysis, where one often deals with statements that are not valid for all elements in a set, but rather almost everywhere, that is, except on a set of measure zero.
See Functional analysis and Essential infimum and essential supremum
Fourier analysis
In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.
See Functional analysis and Fourier analysis
Fourier transform
In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function.
See Functional analysis and Fourier transform
Fréchet derivative
In mathematics, the Fréchet derivative is a derivative defined on normed spaces.
See Functional analysis and Fréchet derivative
Fréchet space
In functional analysis and related areas of mathematics, Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces.
See Functional analysis and Fréchet space
Frigyes Riesz
Frigyes Riesz (Riesz Frigyes,, sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February 1956) was a HungarianEberhard Zeidler: Nonlinear Functional Analysis and Its Applications: Linear monotone operators.
See Functional analysis and Frigyes Riesz
Function space
In mathematics, a function space is a set of functions between two fixed sets.
See Functional analysis and Function space
Functional (mathematics)
In mathematics, a functional is a certain type of function.
See Functional analysis and Functional (mathematics)
George Mackey
George Whitelaw Mackey (February 1, 1916 – March 15, 2006) was an American mathematician known for his contributions to quantum logic, representation theory, and noncommutative geometry.
See Functional analysis and George Mackey
Gerald Teschl
Gerald Teschl (born 12 May 1970 in Graz) is an Austrian mathematical physicist and professor of mathematics.
See Functional analysis and Gerald Teschl
Haïm Brezis
Haïm Brezis (1 June 1944 – 7 July 2024) was a French mathematician, who mainly worked in functional analysis and partial differential equations.
See Functional analysis and Haïm Brezis
Hahn–Banach theorem
The Hahn–Banach theorem is a central tool in functional analysis.
See Functional analysis and Hahn–Banach theorem
Hans Hahn (mathematician)
Hans Hahn (27 September 1879 – 24 July 1934) was an Austrian mathematician and philosopher who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory.
See Functional analysis and Hans Hahn (mathematician)
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space where, for any two distinct points, there exist neighbourhoods of each that are disjoint from each other.
See Functional analysis and Hausdorff space
Higher-order function
In mathematics and computer science, a higher-order function (HOF) is a function that does at least one of the following.
See Functional analysis and Higher-order function
Hilbert space
In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional.
See Functional analysis and Hilbert space
Hugo Steinhaus
Hugo Dyonizy Steinhaus (14 January 1887 – 25 February 1972) was a Polish mathematician and educator.
See Functional analysis and Hugo Steinhaus
Integer
An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.
See Functional analysis and Integer
Integral
In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.
See Functional analysis and Integral
Integral equation
In mathematics, integral equations are equations in which an unknown function appears under an integral sign.
See Functional analysis and Integral equation
Invariant subspace
In mathematics, an invariant subspace of a linear mapping T: V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by T. More generally, an invariant subspace for a collection of linear mappings is a subspace preserved by each mapping individually.
See Functional analysis and Invariant subspace
Invariant subspace problem
In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex Banach space sends some non-trivial closed subspace to itself.
See Functional analysis and Invariant subspace problem
Isometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
See Functional analysis and Isometry
Isomorphism
In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping.
See Functional analysis and Isomorphism
Israel Gelfand
Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (ישראל געלפֿאַנד, Изра́иль Моисе́евич Гельфа́нд, Ізраїль Мойсейович Гельфанд; – 5 October 2009) was a prominent Soviet-American mathematician.
See Functional analysis and Israel Gelfand
Jacob T. Schwartz
Jacob Theodore "Jack" Schwartz (January 9, 1930 – March 2, 2009) was an American mathematician, computer scientist, and professor of computer science at the New York University Courant Institute of Mathematical Sciences.
See Functional analysis and Jacob T. Schwartz
Jacques Hadamard
Jacques Salomon Hadamard (8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex analysis, differential geometry, and partial differential equations.
See Functional analysis and Jacques Hadamard
Jean Bourgain
Jean Louis, baron Bourgain (–) was a Belgian mathematician.
See Functional analysis and Jean Bourgain
John B. Conway
John Bligh Conway (born September 22, 1939) is an American mathematician.
See Functional analysis and John B. Conway
Juliusz Schauder
Juliusz Paweł Schauder (21 September 1899 – September 1943) was a Polish mathematician known for his work in functional analysis, partial differential equations and mathematical physics.
See Functional analysis and Juliusz Schauder
Kōsaku Yosida
was a Japanese mathematician who worked in the field of functional analysis.
See Functional analysis and Kōsaku Yosida
Law of large numbers
In probability theory, the law of large numbers (LLN) is a mathematical theorem that states that the average of the results obtained from a large number of independent random samples converges to the true value, if it exists.
See Functional analysis and Law of large numbers
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices.
See Functional analysis and Linear algebra
Linear form
In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear mapIn some texts the roles are reversed and vectors are defined as linear maps from covectors to scalars from a vector space to its field of scalars (often, the real numbers or the complex numbers).
See Functional analysis and Linear form
Linear map
In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V \to W between two vector spaces that preserves the operations of vector addition and scalar multiplication.
See Functional analysis and Linear map
Linear subspace
In mathematics, and more specifically in linear algebra, a linear subspace or vector subspaceThe term linear subspace is sometimes used for referring to flats and affine subspaces.
See Functional analysis and Linear subspace
List of functional analysis topics
This is a list of functional analysis topics.
See Functional analysis and List of functional analysis topics
Lp space
In mathematics, the spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
See Functional analysis and Lp space
Lwów School of Mathematics
The Lwów school of mathematics (Lwowska szkoła matematyczna) was a group of Polish mathematicians who worked in the interwar period in Lwów, Poland (since 1945 Lviv, Ukraine).
See Functional analysis and Lwów School of Mathematics
Mathematical analysis
Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.
See Functional analysis and Mathematical analysis
Mathematical formulation of quantum mechanics
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics.
See Functional analysis and Mathematical formulation of quantum mechanics
Mathematical physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics.
See Functional analysis and Mathematical physics
Measurable function
In mathematics, and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable.
See Functional analysis and Measurable function
Measure (mathematics)
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events.
See Functional analysis and Measure (mathematics)
Measure space
A measure space is a basic object of measure theory, a branch of mathematics that studies generalized notions of volumes.
See Functional analysis and Measure space
Michael C. Reed
Michael (Mike) Charles Reed is an American mathematician known for his contributions to mathematical physics and mathematical biology.
See Functional analysis and Michael C. Reed
Multiplication operator
In operator theory, a multiplication operator is an operator defined on some vector space of functions and whose value at a function is given by multiplication by a fixed function.
See Functional analysis and Multiplication operator
Nelson Dunford
Nelson James Dunford (December 12, 1906 – September 7, 1986) was an American mathematician, known for his work in functional analysis, namely integration of vector valued functions, ergodic theory, and linear operators.
See Functional analysis and Nelson Dunford
Noncommutative geometry
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions, possibly in some generalized sense.
See Functional analysis and Noncommutative geometry
Normal operator
In mathematics, especially functional analysis, a normal operator on a complex Hilbert space H is a continuous linear operator N: H → H that commutes with its Hermitian adjoint N*, that is: NN*.
See Functional analysis and Normal operator
Normed vector space
In mathematics, a normed vector space or normed space is a vector space over the real or complex numbers on which a norm is defined.
See Functional analysis and Normed vector space
Open and closed maps
In mathematics, more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets.
See Functional analysis and Open and closed maps
Open mapping theorem (functional analysis)
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result that states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map.
See Functional analysis and Open mapping theorem (functional analysis)
Open set
In mathematics, an open set is a generalization of an open interval in the real line.
See Functional analysis and Open set
Operator algebra
In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings.
See Functional analysis and Operator algebra
Operator theory
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators.
See Functional analysis and Operator theory
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
See Functional analysis and Orthonormal basis
Partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function.
See Functional analysis and Partial differential equation
Paul Lévy (mathematician)
Paul Pierre Lévy (15 September 1886 – 15 December 1971) was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions.
See Functional analysis and Paul Lévy (mathematician)
Peter Lax
Peter David Lax (born Lax Péter Dávid; 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics.
See Functional analysis and Peter Lax
Poland
Poland, officially the Republic of Poland, is a country in Central Europe.
See Functional analysis and Poland
Probability
Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur.
See Functional analysis and Probability
Quantum mechanics
Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms.
See Functional analysis and Quantum mechanics
Real number
In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.
See Functional analysis and Real number
René Maurice Fréchet
René Maurice Fréchet (2 September 1878 – 4 June 1973) was a French mathematician.
See Functional analysis and René Maurice Fréchet
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
See Functional analysis and Representation theory
Reproducing kernel Hilbert space
In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional.
See Functional analysis and Reproducing kernel Hilbert space
Schauder basis
In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums.
See Functional analysis and Schauder basis
Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence.
See Functional analysis and Separable space
Sergei Fomin
Sergei Vasilyevich Fomin (Серге́й Васи́льевич Фоми́н; 9 December 1917 – 17 August 1975) was a Soviet mathematician who was co-author with Andrey Kolmogorov of Introductory real analysis, and co-author with Israel Gelfand of Calculus of Variations (1963), both books that are widely read in Russian and in English.
See Functional analysis and Sergei Fomin
Sergei Sobolev
Prof Sergei Lvovich Sobolev, FRSE (Серге́й Льво́вич Со́болев; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations.
See Functional analysis and Sergei Sobolev
Spectral theorem
In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).
See Functional analysis and Spectral theorem
Spectral theory
In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.
See Functional analysis and Spectral theory
Springer Publishing
Springer Publishing Company is an American publishing company of academic journals and books, focusing on the fields of nursing, gerontology, psychology, social work, counseling, public health, and rehabilitation (neuropsychology).
See Functional analysis and Springer Publishing
Springer Science+Business Media
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
See Functional analysis and Springer Science+Business Media
Stefan Banach
Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians.
See Functional analysis and Stefan Banach
Sublinear function
In linear algebra, a sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm or a Banach functional, on a vector space X is a real-valued function with only some of the properties of a seminorm.
See Functional analysis and Sublinear function
Surjective function
In mathematics, a surjective function (also known as surjection, or onto function) is a function such that, for every element of the function's codomain, there exists one element in the function's domain such that.
See Functional analysis and Surjective function
Topological group
In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time, such that the continuity condition for the group operations connects these two structures together and consequently they are not independent from each other.
See Functional analysis and Topological group
Topological ring
In mathematics, a topological ring is a ring R that is also a topological space such that both the addition and the multiplication are continuous as maps: R \times R \to R where R \times R carries the product topology.
See Functional analysis and Topological ring
Topological space
In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance.
See Functional analysis and Topological space
Topological vector space
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis.
See Functional analysis and Topological vector space
Uniform boundedness principle
In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis.
See Functional analysis and Uniform boundedness principle
Unitary operator
In functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product.
See Functional analysis and Unitary operator
University of Colorado Colorado Springs
The University of Colorado Colorado Springs (UCCS) is a public research university in Colorado Springs, Colorado.
See Functional analysis and University of Colorado Colorado Springs
Up to
Two mathematical objects and are called "equal up to an equivalence relation ".
See Functional analysis and Up to
Vector space
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.
See Functional analysis and Vector space
Vito Volterra
Vito Volterra (3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis.
See Functional analysis and Vito Volterra
Walter Rudin
Walter Rudin (May 2, 1921 – May 20, 2010) was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.
See Functional analysis and Walter Rudin
Zorn's lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory.
See Functional analysis and Zorn's lemma
References
Also known as Functional analyst, Infinite dimensional analysis, Infinite-dimensional analysis, Infinitely dimensional analysis, Soft analysis.