On the geometry of spheres in normed linear spaces

1 February 1990

journal article
research article
Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

Vol. 48 (1), 101-112
https://doi.org/10.1017/s1446788700035230

Abstract

Some 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 l_p, L_p spaces, uniformly nonsquare spaces, and their isomorphic classes.

Keywords

46 B 20
GIRTH
ISOMORPHISM
PERIMETER
UNIFORMLY CONVEX
UNIFORMLY NONSQUARE.

This publication has 1 reference indexed in Scilit:

Uniformly Convex Spaces
Transactions of the American Mathematical Society, 1936

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