STRONGLY EXTREME-POINTS IN ORLICZ FUNCTION-SPACES

Citation
H. Hudzik et al., STRONGLY EXTREME-POINTS IN ORLICZ FUNCTION-SPACES, Journal of mathematical analysis and applications, 189(3), 1995, pp. 651-670
Citations number
23
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
189
Issue
3
Year of publication
1995
Pages
651 - 670
Database
ISI
SICI code
0022-247X(1995)189:3<651:SEIOF>2.0.ZU;2-B
Abstract
For any Orlicz function Phi and any sigma-finite atomless measure mu, a criterion for x from the unit sphere of the Orlicz space L(Phi)(mu), equipped with the Luxemburg norm, to be strongly extreme is given. Fu rther, Orlicz spaces L(Phi)(mu) which are isometric to L(infinity)(mu) are characterized. (C) 1995 Academic Press, Inc.