STRONGLY EXPOSED POINTS IN LEBESGUE-BOCHNER FUNCTION-SPACES

Authors
Citation
Zb. Hu et Bl. Lin, STRONGLY EXPOSED POINTS IN LEBESGUE-BOCHNER FUNCTION-SPACES, Proceedings of the American Mathematical Society, 120(4), 1994, pp. 1159-1165
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029939
Volume
120
Issue
4
Year of publication
1994
Pages
1159 - 1165
Database
ISI
SICI code
0002-9939(1994)120:4<1159:SEPILF>2.0.ZU;2-P
Abstract
It is a result of Peter Greim that if f is a strongly exposed Point of the unit ball of Lebesgue-Bochner function space L(p)(mu , X) , 1 < p < infinity, then f is a unit vector and f(t)/\\f(t)\\ is a strongly e xposed point of the unit ball of X for almost all t in the support of f . We prove that the converse is also true.