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A Nonlinear Transfer Technique For Renorming at Meripustak

A Nonlinear Transfer Technique For Renorming

Books from same Author: Aníbal Moltó José Orihuela Stanimir Troyanski Manuel Valdivia

Books from same Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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    • General Information  
    Author(s)Aníbal Moltó José Orihuela Stanimir Troyanski Manuel Valdivia
    PublisherSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
    EditionEdition Statement 2009 ed.
    ISBN9783540850304
    Pages148
    BindingPaperback
    LanguageEnglish
    Publish YearFebruary 2009

    Description

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG A Nonlinear Transfer Technique For Renorming by Aníbal Moltó José Orihuela Stanimir Troyanski Manuel Valdivia

    Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems all of them based on a network analysis for the topologies involved inside the problem.Maps from a normed space X to a metric space Y which provide locally uniformly rotund renormings on X are studied and a new frame for the theory is obtained with interplay between functional analysis optimization and topology using subdifferentials of Lipschitz functions and covering methods of metrization theory. Any one-to-one operator T from a reflexive space X into c0 (T) satisfies the authors conditions transferring the norm to X. Nevertheless the authors maps can be far from linear for instance the duality map from X to X* gives a non-linear example when the norm in X is Frechet differentiable.This volume will be interesting for the broad spectrum of specialists working in Banach space theory and for researchers in infinite dimensional functional analysis.show more