Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Complex convexity in Lebesgue-Bochner Function Spaces

Authors: Patrick N. Dowling, Zhibao Hu and Douglas Mupasiri
Journal: Trans. Amer. Math. Soc. 348 (1996), 127-139
MSC (1991): Primary 28A05, 46E40
MathSciNet review: 1327255
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Complex geometric properties of continuously quasi-normed
spaces are introduced and their relationship to their analogues in real Banach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space $X$ to $L^p(\mu , X)$, for $0 < p < \infty $. Local versions of these properties and results are also considered.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 28A05, 46E40

Retrieve articles in all journals with MSC (1991): 28A05, 46E40

Additional Information

Patrick N. Dowling

Zhibao Hu
Affiliation: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056
Address at time of publication: Department of Mathematics, El Paso Community College, P.O. Box 20500, Elpaso, Texas 79998

Douglas Mupasiri

Keywords: Quasi-normed spaces, complex extreme points, complex strongly extreme points, analytic denting points
Received by editor(s): July 22, 1994
Article copyright: © Copyright 1996 American Mathematical Society