AN ELEMENTARY PROOF OF JAMES’ CHARACTERISATION OF WEAK COMPACTNESS. II

In this paper we provide an elementary proof of James’ characterisation of weak compactness for Banach spaces whose dual ball is weak∗ sequentially compact.

Saved in:
Bibliographic Details
Published inBulletin of the Australian Mathematical Society Vol. 95; no. 1; pp. 133 - 137
Main Authors MOORS, WARREN B., WHITE, SAMUEL J.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.02.2017
Subjects
Banach spaces
Inequality
primary 46B20
James’ theorem
boundaries
secondary 46B22
weakly compact sets
Online AccessGet full text

Cover

More Information
Summary:In this paper we provide an elementary proof of James’ characterisation of weak compactness for Banach spaces whose dual ball is weak∗ sequentially compact.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972716000599