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On the geometry of spheres in normed linear spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 April 2009

Ji Gao  and
Ka-Sing Lau
Ji Gao
Affiliation:
University of Pittsburgh Pittsburgh, Pennsylvania, U.S.A.
Ka-Sing Lau
Affiliation:
University of Pittsburgh Pittsburgh, Pennsylvania, U.S.A.
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Abstract

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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 lp, Lp spaces, uniformly nonsquare spaces, and their isomorphic classes.

Keywords

girthisomorphismperimeteruniformly convexuniformly nonsquare.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 101 - 112
Copyright
Copyright © Australian Mathematical Society 1990

References

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