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LUR renormings through Deville’s Master Lemma

Renormamientos LUR a través del Lema Maestro de Deville

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Abstract

A completely geometrical approach for the construction of locally uniformly rotund norms and the associated networks on a normed space X is presented. A new proof providing a quantitative estimate for a central theorem by M. Raja, A. Moltó and the authors is given with the only external use of Deville-Godefory-Zizler decomposition method.

Resumen

Presentamos una aproximación completamente geométrica para la construcción de normas localmente uniformemente convexas y sus network asociadas en un espacio normado X. Se da una nueva demostración, con estimaciones cuantitativas, de un resultado central de M. Raja, A. Moltó y los autores usando únicamente el método de descomposición de Deville-Godefroy-Zizler.

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Authors and Affiliations

  1. Departamento de Matemáticas. Facultad de Matemáticas, Universidad de Murcia, Campus de Espinardo, E-30100, Espinardo, SPAIN

    J. Orihuela & S. Troyanski

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  1. J. Orihuela
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  2. S. Troyanski
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Correspondence to J. Orihuela.

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Orihuela, J., Troyanski, S. LUR renormings through Deville’s Master Lemma. Rev. R. Acad. Cien. Serie A. Mat. 103, 75–85 (2009). https://doi.org/10.1007/BF03191834

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  • DOI: https://doi.org/10.1007/BF03191834

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