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On exposed faces and smoothness

On exposed faces and smoothness In this paper we study two types of Banach spaces: those whose unit ball exposed faces are pairwise disjoint and those that are smooth. We present original characterizations of both types that easily lead to local and global results on smoothness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-009-0011-2
Publisher site
See Article on Publisher Site

Abstract

In this paper we study two types of Banach spaces: those whose unit ball exposed faces are pairwise disjoint and those that are smooth. We present original characterizations of both types that easily lead to local and global results on smoothness.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jun 9, 2009

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