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Titlebook: A Nonlinear Transfer Technique for Renorming; Aníbal Moltó,José Orihuela,Manuel Valdivia Book 2009 Springer-Verlag Berlin Heidelberg 2009

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發(fā)表于 2025-3-21 18:19:05 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱A Nonlinear Transfer Technique for Renorming
影響因子2023Aníbal Moltó,José Orihuela,Manuel Valdivia
視頻videohttp://file.papertrans.cn/142/141605/141605.mp4
發(fā)行地址Includes supplementary material:
學(xué)科分類Lecture Notes in Mathematics
圖書封面Titlebook: A Nonlinear Transfer Technique for Renorming;  Aníbal Moltó,José Orihuela,Manuel Valdivia Book 2009 Springer-Verlag Berlin Heidelberg 2009
影響因子.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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沙發(fā)
發(fā)表于 2025-3-21 22:11:37 | 只看該作者
Lecture Notes in Mathematicshttp://image.papertrans.cn/a/image/141605.jpg
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https://doi.org/10.1007/978-3-642-32557-1 nevertheless the main contribution are presented in 2.4–2.7 and our main tool will be Theorem 2.32. An important concept will be the .-continuity of a map Φ from a topological space . into a metric space .. The .-continuity property is an extension of continuity suitable to deal with countable deco
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Radiative Transfer and Heat Conduction,Renorming in Banach space theory involves finding isomorphisms which improve the norm. That means making the geometrical and topological properties of the unit ball of a given Banach space as close as possible to those of the unit ball in a Hilbert space.
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發(fā)表于 2025-3-23 07:26:19 | 只看該作者
https://doi.org/10.1007/978-3-031-02536-5All examples of .-slicely continuous maps are connected somehow with LUR Banach spaces. It is clear that if x is a denting point of a set . and Φ is a norm continuous map at x then Φ is slicely continuous at x. Hence if . is a LUR normed space then every norm continuous map Φ on .. is slicely continuous on ...
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