Reflexive space
id:
reflexive-space-215-2355441
title:
Reflexive space
text:
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 into its bidual is a homeomorphism. A normed space is reflexive if and only if this canonical evaluation map is surjective, in which case this evaluation map is an isometric isomorphism and the normed space is a Banach space. Those spaces for which the canonical evaluation map is surjective are called semi-reflexive spaces. In 1951,
brand slug:
wiki
category slug:
encyclopedia
description:
Locally convex topological vector space
original url:
https://en.wikipedia.org/wiki/Reflexive_space
date created:
2003-04-13T23:07:01Z
date modified:
2024-09-12T20:06:00Z
main entity:
{"identifier":"Q2032198","url":"https://www.wikidata.org/entity/Q2032198"}
image:
fields total:
13
integrity:
15