| 期刊全称 | A Nonlinear Transfer Technique for Renorming | | 影响因子2023 | Aníbal Moltó,José Orihuela,Manuel Valdivia | | 视频video | | | 发行地址 | Includes supplementary material: | | 学科分类 | Lecture Notes in Mathematics | | 图书封面 |  | | 影响因子 | .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 c.0. (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 Fréchet 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.. | | Pindex | Book 2009 |
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发表于 2025-3-21 18:19:05
