Publication:
Locally uniformly rotund norms

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1999_Mathematika.pdf(798.09 KB)
Date
1999
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Authors
Raja Baño, Matías
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Publisher
Wiley
London Mathematical Society
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Matemáticas
DOI
https://doi.org/10.1112/S0025579300007816
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info:eu-repo/semantics/article
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Abstract
Given a Banach space X and a norming subspace Z subset of X*, a geometrical method is introduced to characterize the existence of an equivalent sigma(X, Z)-lsc LUR norm on X. A new simple proof of the Theorem of Troyanski: every rotund space with a Kadec norm is LUR renormable, and a generalization of the Moltó, Orihuela and Troyanski characterization of the LUR renormability, are provided without probability arguments. Among other applications, it is shown that a dual Banach space with a w*-Kadec norm admits a dual LUR norm.
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Locally uniformly convex norm , Renorming , Banach spaces
Citation
Mathematika, 46 (1999), 343-358
URI
http://hdl.handle.net/10201/139521
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