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

ISBN-10: 3540850309

ISBN-13: 9783540850304

Abstract topological instruments from generalized metric areas are utilized during this quantity to the development of in the community uniformly rotund norms on Banach areas. The e-book deals new suggestions 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 house Y, which offer in the community uniformly rotund renormings on X, are studied and a brand new body for the speculation is received, with interaction among useful research, optimization and topology utilizing subdifferentials of Lipschitz services and overlaying equipment of metrization thought. 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* offers a non-linear instance whilst the norm in X is Fréchet differentiable.

This quantity can be attention-grabbing for the wide spectrum of experts operating in Banach area concept, and for researchers in limitless dimensional sensible analysis.

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A Nonlinear Transfer Technique for Renorming (Lecture Notes in Mathematics) by Aníbal Moltó,José Orihuela,Stanimir Troyanski,Manuel Valdivia

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