On the geometry of spheres in normed linear spaces-Reference-Cited by-同舟云学术

On the geometry of spheres in normed linear spaces

Published:1990-02 Issue:1 Volume:48 Page:101-112
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Gao Ji,Lau Ka-Sing

Abstract

AbstractSome simplifications of Schäffer's girth and perimeter of the unit spheres are introduced. Their general properties are discussed, and they are used to study the lp, Lp spaces, uniformly nonsquare spaces, and their isomorphic classes.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference13 articles.

1. [13] Gao J. and Lau K. S. , ‘On two classes of Banach spaces with normal structure’, submitted.

2. The Hausdorff metric andCˇebysˇev centres

3. Flat spaces of continuous functions

4. Uniformly convex spaces

5. Reflexivity and the girth of spheres

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