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Bidual renormings of Banach spaces

✍ Scribed by S. Lajara; A.J. Pallarés; S. Troyanski


Book ID
108178224
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
166 KB
Volume
350
Category
Article
ISSN
0022-247X

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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