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Some examples concerning normal and uniform normal structure in Banach spaces

Published online by Cambridge University Press:  09 April 2009

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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1990

References

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