Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-04-01

Journal: ACTA MATHEMATICA SINICA-ENGLISH SERIES

Included Journals: Scopus、SCIE

Volume: 33

Issue: 4

Page Number: 545-553

ISSN: 1439-8516

Key Words: Banach space; uniform Eberlein compactas; super weak compactness

Abstract: We prove that a topological space is uniform Eberlein compact iff it is homeomorphic to a super weakly compact subset C of a Banach space such that the closed convex hull (c) over bar(o) over barC of C is super weakly compact. We also show that a Banach space X is super weakly compactly generated iff the dual unit ball B-X* of X* in its weak star topology is affinely homeomorphic to a super weakly compactly convex subset of a Banach space.