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Renormings ofC(K)spaces

✍ Scribed by Richard J. Smith; Stanimir Troyanski

Book ID
119937734
Publisher
Springer Milan
Year
2010
Tongue
English
Weight
486 KB
Volume
104
Category
Article
ISSN
1578-7303

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Let N(X) be the set of all equivalent norms on a separable Banach space X, equipped with the topology of uniform convergence on bounded subsets of X. We show that if X is infinite dimensional, the set of all locally uniformly rotund norms on X reduces every coanalytic set and, thus, is in particular