James's theorem
id:
james-s-theorem-255-2727331
title:
James's theorem
text:
In mathematics, particularly functional analysis, James' theorem, named for Robert C. James, states that a Banach space X is reflexive if and only if every continuous linear functional's norm on X attains its supremum on the closed unit ball in X . A stronger version of the theorem states that a weakly closed subset C of a Banach space X is weakly compact if and only if the dual norm each continuous linear functional on X attains a maximum on C . The hypothesis of completeness in the theorem can
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/James%27s_theorem
date created:
date modified:
2024-04-16T17:29:30Z
main entity:
{"identifier":"Q1780722","url":"https://www.wikidata.org/entity/Q1780722"}
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