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Titlebook: Renormings in Banach Spaces; A Toolbox Antonio José Guirao,Vicente Montesinos,Václav Zizl Book 2022 The Editor(s) (if applicable) and The A

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Locally uniformly convex renorming of nonseparable spacesThis chapter deals with renormings —for the main part, LUR renormings— of the more “accessible” nonseparable Banach spaces (weakly compactly generated —in particular, reflexive— and related classes of Banach spaces).
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Miscellaneous applicationsThe following results are very important for understanding the relation of linear and metric structures of Banach spaces.
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Bumps depending locally on finitely many CoordinatesThe notion of dependence on a finite number of coordinates was introduced in Definition 140..The method of proof in the second part of the following result goes back to Kurzweil [Kurz54].
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Antonio José Guirao,Vicente Montesinos,Václav ZizlIncludes open problems.Suitable for graduate students.Gathers recent results in book form
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Book 2022cations. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their co
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