Complex Convexity In Lebesgue-Bochner Function Spaces

Authors

Patrick N. Dowling, Miami University
Zhibao Hu, Miami UniversityFollow
Douglas Mupasiri, University of Northern IowaFollow

Document Type

Article

Keywords

Analytic denting points, Complex extreme points, Complex strongly extreme points, Quasi-normed spaces

Journal/Book/Conference Title

Transactions of the American Mathematical Society

Volume

348

Issue

1

First Page

127

Last Page

139

Abstract

Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in real Danach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space X to Lp(μ, X), for 0 < p < ∞. Local versions of these properties and results are also considered. © 1996 American Mathematical Society.

Department

Department of Mathematics

Original Publication Date

1-1-1996

DOI of published version

10.1090/s0002-9947-96-01508-5

Recommended Citation

Dowling, Patrick N.; Hu, Zhibao; and Mupasiri, Douglas, "Complex Convexity In Lebesgue-Bochner Function Spaces" (1996). Faculty Publications. 4143.
https://scholarworks.uni.edu/facpub/4143