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Some examples concerning normal and uniform normal structure in Banach spaces

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

Published online by Cambridge University Press:  09 April 2009

Mark A. Smith  and
Barry Turett
Mark A. Smith
Affiliation:
Miami University, Oxford, Ohio 45056, U.S.A.
Barry Turett
Affiliation:
Oakland University, Rochester, Michigan 48309, U.S.A.
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Abstract

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Examples are given that show the following: (1) normal structure need not be inherited by quotient spaces; (2) uniform normal structure is not a self-dual property; and (3) no degree of k–uniform rotundity need be present in a space with uniform normal structure.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 2 , April 1990 , pp. 223 - 234
Copyright
Copyright © Australian Mathematical Society 1990

References

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