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A New Space With no Locally Uniformly Rotund Renorming

Published online by Cambridge University Press:  20 November 2018

Richard Haydon  and
Vaclav Zizler
Richard Haydon
Affiliation:
Brasenose College, Oxford, England
Vaclav Zizler
Affiliation:
University of Alberta, Edmonton, Alberta, Canada
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Abstract

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We construct a Banach space X which has no equivalent (wLUR) norm but which has no subspace isomorphic to l∞.

Keywords

46B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 122 - 128
Copyright
Copyright © Canadian Mathematical Society 1989

References

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