Table of Contents
15 relations: Balanced set, Cone-saturated, Convex cone, Dual cone and polar cone, Functional analysis, Infrabarrelled space, Locally compact space, Locally convex topological vector space, Neighbourhood system, Norm (mathematics), Order theory, Ordered topological vector space, Saturated family, Topological vector lattice, Topological vector space.
Balanced set
In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field \mathbb with an absolute value function |\cdot |) is a set S such that a S \subseteq S for all scalars a satisfying |a| \leq 1.
See Normal cone (functional analysis) and Balanced set
Cone-saturated
In mathematics, specifically in order theory and functional analysis, if C is a cone at 0 in a vector space X such that 0 \in C, then a subset S \subseteq X is said to be C-saturated if S. Normal cone (functional analysis) and cone-saturated are functional analysis.
See Normal cone (functional analysis) and Cone-saturated
Convex cone
In linear algebra, a cone—sometimes called a linear cone for distinguishing it from other sorts of cones—is a subset of a vector space that is closed under positive scalar multiplication; that is, is a cone if x\in C implies sx\in C for every.
See Normal cone (functional analysis) and Convex cone
Dual cone and polar cone
Dual cone and polar cone are closely related concepts in convex analysis, a branch of mathematics.
See Normal cone (functional analysis) and Dual cone and polar cone
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 (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
See Normal cone (functional analysis) and Functional analysis
Infrabarrelled space
In functional analysis, a discipline within mathematics, a locally convex topological vector space (TVS) is said to be infrabarrelled (also spelled infrabarreled) if every bounded barrel is a neighborhood of the origin. Normal cone (functional analysis) and infrabarrelled space are functional analysis.
See Normal cone (functional analysis) and Infrabarrelled space
Locally compact space
In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.
See Normal cone (functional analysis) and Locally compact space
Locally convex topological vector space
In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. Normal cone (functional analysis) and locally convex topological vector space are functional analysis.
See Normal cone (functional analysis) and Locally convex topological vector space
Neighbourhood system
In topology and related areas of mathematics, the neighbourhood system, complete system of neighbourhoods, or neighbourhood filter \mathcal(x) for a point x in a topological space is the collection of all neighbourhoods of x.
See Normal cone (functional analysis) and Neighbourhood system
Norm (mathematics)
In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin. Normal cone (functional analysis) and norm (mathematics) are functional analysis.
See Normal cone (functional analysis) and Norm (mathematics)
Order theory
Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations.
See Normal cone (functional analysis) and Order theory
Ordered topological vector space
In mathematics, specifically in functional analysis and order theory, an ordered topological vector space, also called an ordered TVS, is a topological vector space (TVS) X that has a partial order ≤ making it into an ordered vector space whose positive cone C. Normal cone (functional analysis) and ordered topological vector space are functional analysis.
See Normal cone (functional analysis) and Ordered topological vector space
Saturated family
In mathematics, specifically in functional analysis, a family \mathcal of subsets a topological vector space (TVS) X is said to be saturated if \mathcal contains a non-empty subset of X and if for every G \in \mathcal, the following conditions all hold. Normal cone (functional analysis) and saturated family are functional analysis.
See Normal cone (functional analysis) and Saturated family
Topological vector lattice
In mathematics, specifically in functional analysis and order theory, a topological vector lattice is a Hausdorff topological vector space (TVS) X that has a partial order \,\leq\, making it into vector lattice that is possesses a neighborhood base at the origin consisting of solid sets. Normal cone (functional analysis) and topological vector lattice are functional analysis.
See Normal cone (functional analysis) and Topological vector lattice
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 Normal cone (functional analysis) and Topological vector space