A CHARACTERIZATION OF REFLEXIVE BANACH-SPACES

Authors
MATOUSKOVA E STEGALL C
Citation
E. Matouskova et C. Stegall, A CHARACTERIZATION OF REFLEXIVE BANACH-SPACES, Proceedings of the American Mathematical Society, 124(4), 1996, pp. 1083-1090
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
4
Year of publication
1996
Pages
1083 - 1090
Database
ISI
SICI code
0002-9939(1996)124:4<1083:ACORB>2.0.ZU;2-4
Abstract
A Banach space Z is not reflexive if and only if there exist a closed separable subspace X of Z and a convex closed subset Q of X with empty interior which contains translates of all compact sets in X. If, more over, Z is separable, then it is possible to put X = Z.