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Reflexive space

In the area of mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X {\displaystyle X} into its bidual (which is the strong dual of the strong dual of X {\displaystyle X} ) is a homeomorphism (or equivalently, a TVS isomorphism). A normed space is reflexive…

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Overview

Definition

Reflexive Banach spaces

Examples

Properties

Reflexive locally convex spaces

Other types of reflexivity

General references

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Reflexive space

Nodes95
Edges94
Triples29
Avg. degree1.98
Density0.021053
Components1

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Reflexive space

Top relations

related to Examples · 10
Reflexive space → As, Banach, Every, Hausdorff, In, Montel, Schwartz, Since, Then, This
related to Other types of reflexivity · 8
Reflexive space → Banach, Fréchet, Here, In, More, Ste, The, TVS
related to Properties · 5
Reflexive space → Hausdorff, If, Suppose, Then, This
related to Remark · 3
Reflexive space → Banach, Furthermore, James
see also · 2
Reflexive space → Grothendieck, Reflexive
is a · 1
Reflexive space → locally convex topological vector space for which the canonical evaluation map from X

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Important terminology

displaystyle space reflexive banach prime convex spaces dual continuous vector left right closed every linear locally topological normed map bounded

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Reflexive spaceis alocally convex topological vector space for which the canonical evaluation map from X0.90text
Reflexive spacerelated to ExamplesEvery0.60section
Reflexive spacerelated to ExamplesHausdorff0.60section
Reflexive spacerelated to ExamplesThis0.60section
Reflexive spacerelated to ExamplesAs0.60section
Reflexive spacerelated to ExamplesBanach0.60section
Reflexive spacerelated to ExamplesThen0.60section
Reflexive spacerelated to ExamplesSince0.60section
Reflexive spacerelated to ExamplesMontel0.60section
Reflexive spacerelated to ExamplesIn0.60section
Reflexive spacerelated to ExamplesSchwartz0.60section
Reflexive spacerelated to Other types of reflexivityTVS0.60section

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    Min side: 3
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