Semi-Reflexive Space

(Duality Theory)

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Duality Theory
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What is Semi-reflexive space?

In the area of mathematics known as functional analysis, a semi-reflexive space is a locally convex topological vector space (TVS) X such that the canonical evaluation map from X into its bidual (which is the strong dual of the strong dual of X) is bijective. If this map is also an isomorphism of TVSs then it is called reflexive. Semi-reflexive spaces play an important role in the general theory of locally convex TVSs. Since a normable TVS is semi-reflexive if and only if it is reflexive, the concept of semi-reflexivity is primarily used with TVSs that are not normable.

Technology Types

banach spaceduality theory

Synonyms

Semi-reflexiveSemi-reflexive TVS

Tech Info


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 — Date merged: 11/6/2021, 1:32:51 PM
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