Faster access than browser!Similarities between Lp space and Topological vector space
Lp space and Topological vector space have 22 things in common (in Unionpedia): Banach space, Bounded operator, Closed graph theorem, Complete metric space, Complex number, F-space, Function (mathematics), Functional analysis, Hahn–Banach theorem, Hilbert space, Locally convex topological vector space, Mathematics, Metric space, Metrization theorem, Norm (mathematics), Normed vector space, Quotient space (topology), Real number, Reflexive space, Topological space, Triangle inequality, Vector space.
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
Banach space and Lp space · Banach space and Topological vector space ·
Bounded operator
In functional analysis, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded above by the same number, over all non-zero vectors v in X. In other words, there exists some M\ge 0 such that for all v in X The smallest such M is called the operator norm \|L\|_ \, of L. A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless L(v).
Bounded operator and Lp space · Bounded operator and Topological vector space ·
Closed graph theorem
In mathematics, the closed graph theorem is a basic result which characterizes continuous functions in terms of their graphs.
Closed graph theorem and Lp space · Closed graph theorem and Topological vector space ·
Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).
Complete metric space and Lp space · Complete metric space and Topological vector space ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Lp space · Complex number and Topological vector space ·
F-space
In functional analysis, an F-space is a vector space V over the real or complex numbers together with a metric d: V × V → R so that.
F-space and Lp space · F-space and Topological vector space ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and Lp space · Function (mathematics) and Topological vector space ·
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
Functional analysis and Lp space · Functional analysis and Topological vector space ·
Hahn–Banach theorem
In mathematics, the Hahn–Banach theorem is a central tool in functional analysis.
Hahn–Banach theorem and Lp space · Hahn–Banach theorem and Topological vector space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Hilbert space and Lp space · Hilbert space and Topological vector space ·
Locally convex topological vector space
In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces.
Locally convex topological vector space and Lp space · Locally convex topological vector space and Topological vector space ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Lp space and Mathematics · Mathematics and Topological vector space ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Lp space and Metric space · Metric space and Topological vector space ·
Metrization theorem
In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.
Lp space and Metrization theorem · Metrization theorem and Topological vector space ·
Norm (mathematics)
In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.
Lp space and Norm (mathematics) · Norm (mathematics) and Topological vector space ·
Normed vector space
In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined.
Lp space and Normed vector space · Normed vector space and Topological vector space ·
Quotient space (topology)
In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.
Lp space and Quotient space (topology) · Quotient space (topology) and Topological vector space ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Lp space and Real number · Real number and Topological vector space ·
Reflexive space
In the area of mathematics known as functional analysis, a reflexive space is a Banach space (or more generally a locally convex topological vector space) that coincides with the continuous dual of its continuous dual space, both as linear space and as topological space.
Lp space and Reflexive space · Reflexive space and Topological vector space ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Lp space and Topological space · Topological space and Topological vector space ·
Triangle inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
Lp space and Triangle inequality · Topological vector space and Triangle inequality ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Lp space and Vector space · Topological vector space and Vector space ·
The list above answers the following questions
- What Lp space and Topological vector space have in common
- What are the similarities between Lp space and Topological vector space
Lp space and Topological vector space Comparison
Lp space has 127 relations, while Topological vector space has 92. As they have in common 22, the Jaccard index is 10.05% = 22 / (127 + 92).
References
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