COMPLEX EXTREME MEASURABLE SELECTIONS

Authors
MUPASIRI D
Citation
D. Mupasiri, COMPLEX EXTREME MEASURABLE SELECTIONS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 58, 1995, pp. 222-231
Citations number
12
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
58
Year of publication
1995
Part
2
Pages
222 - 231
Database
ISI
SICI code
0263-6115(1995)58:<222:CEMS>2.0.ZU;2-X
Abstract
We give a characterization of complex extreme measurable selections fo r a suitable set-valued map. We use this result to obtain necessary an d sufficient conditions for a function to be a complex extreme point o f the closed unit ball of L(p)(Omega, Sigma, upsilon; X), where (Omega , Sigma, upsilon) is any positive, complete measure space, X is a sepa rable complex Banach space, and 0 < p < infinity.