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A locally uniformly convex renorming for certain ℒ(K)

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

Published online by Cambridge University Press:  26 February 2010

R. G. Haydon  and
C. A. Rogers
R. G. Haydon
Affiliation:
Brasenose College, Oxford, OX1 4AJ
C. A. Rogers
Affiliation:
Department of Statistical Science, University College London, Gower Street, London, WC1E 6BT
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Abstract

If a scattered compact space K is such that its ω1-th derived set K(ω1) is empty then the Banach space ℒ(K) admits an equivalent locally uniformly convex norm.

MSC classification

Secondary: 46B20: Geometry and structure of normed linear spaces
Type
Research Article
Information
Mathematika , Volume 37 , Issue 1 , June 1990 , pp. 1 - 8
Copyright
Copyright © University College London 1990

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References

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