Subdifferentiability of the norm and the Banach-Stone theorem for real and complex JB*-triples |
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Authors: | Email author" target="_blank">Julio Becerra?GuerreroEmail author Antonio M?Peralta |
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Institution: | (1) Departamento Matemática, Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain;(2) Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071- Granada, Spain |
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Abstract: | We study the points of strong subdifferentiability for the norm of a real JB*-triple. As a consequence we describe weakly compact real JB*-triples and rediscover the Banach-Stone Theorem for complex JB*-triples.Authors Partially supported by I+D MCYT projects no. BFM2002-01529 and BFM2002-01810, and Junta de Andalucía grant FQM 0199Mathematics Subject Classification (2000): 46B04, 46L05, 46L70Revised version: 2 May 2004Acknowledgements. The authors would like to thank A. Rodr{\i}guez Palacios for fruitful comments and discussions during the preparation of this paper and to the referee for his or her interesting suggestions. |
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