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Locally uniformly rotund renorming and fragmentability |
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| Authors: | Molto A; Orihuela J; Troyanski S |
| Institution: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia Dr. Moliner 50, 46100 Burjassot (Valencia), Spain Departamento de Matemáticas, Universidad de Murcia Campus de Espinardo, 30100 Espinardo, Murcia, Spain Faculty of Mathematics and Informatics, Sofia University 5, James Bourchier Blvd. 1126 Sofia, Bulgaria |
| Abstract: | In this paper we characterize those Banach spaces E that admita locally uniformly rotund renorming by means of a linear topologicalcondition that is a particular case of the notion, introducedby J. E. Jayne, I. Namioka and C. A. Rogers, called countablecover by sets of small local diameter. This allows us to developa Decomposition Method and a Transfer Technique to obtain locallyuniformly rotund renormings. 1991 Mathematics Subject Classification:46B20. |
| Keywords: | locally uniformly rotund |
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