COMPLEX CONVEXITY IN LEBESGUE-BOCHNER FUNCTION-SPACES

Authors
DOWLING PN HU ZB MUPASIRI D
Citation
Pn. Dowling et al., COMPLEX CONVEXITY IN LEBESGUE-BOCHNER FUNCTION-SPACES, Transactions of the American Mathematical Society, 348(1), 1996, pp. 127-139
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
1
Year of publication
1996
Pages
127 - 139
Database
ISI
SICI code
0002-9947(1996)348:1<127:CCILF>2.0.ZU;2-5
Abstract
Complex geometric properties of continuously quasi-normed spaces are i ntroduced and their relationship to their analogues in real Banach spa ces is discussed. It is shown that these properties lift from a contin uously quasi-normed space X to L(p)(mu, X), for 0 < p < infinity. Loca l versions of these properties and results are also considered.