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Download A Nonlinear Transfer Technique for Renorming (Lecture Notes by Aníbal Moltó,José Orihuela,Stanimir Troyanski,Manuel PDF

By Aníbal Moltó,José Orihuela,Stanimir Troyanski,Manuel Valdivia

Abstract topological instruments from generalized metric areas are utilized during this quantity to the development of in the neighborhood uniformly rotund norms on Banach areas. The e-book deals new options for renorming difficulties, them all in accordance with a community research for the topologies concerned contained in the problem.

Maps from a normed house X to a metric area Y, which supply in the neighborhood uniformly rotund renormings on X, are studied and a brand new body for the speculation is acquired, with interaction among sensible research, optimization and topology utilizing subdifferentials of Lipschitz features and masking equipment of metrization concept. Any one-to-one operator T from a reflexive house X into c0 (T) satisfies the authors' stipulations, shifting the norm to X. however the authors' maps might be faraway from linear, for example the duality map from X to X* provides a non-linear instance while the norm in X is Fréchet differentiable.

This quantity could be fascinating for the extensive spectrum of experts operating in Banach area idea, and for researchers in endless dimensional sensible analysis.

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