A Nonlinear Transfer Technique for Renorming 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Molto, Anibal 作者

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出版日期

142 页数

$ 56.44 价格

丛书系列

9783540850304 图书编码

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发表于2024-11-24

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A Nonlinear Transfer Technique for Renorming 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 FrA(c)chet 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.

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