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 community uniformly rotund norms on Banach areas. The booklet bargains 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 area X to a metric area Y, which offer in the community uniformly rotund renormings on X, are studied and a brand new body for the speculation is bought, with interaction among useful research, optimization and topology utilizing subdifferentials of Lipschitz features and masking equipment of metrization idea. Any one-to-one operator T from a reflexive house X into c0 (T) satisfies the authors' stipulations, moving the norm to X. however the authors' maps will be faraway from linear, for example the duality map from X to X* provides a non-linear instance whilst the norm in X is Fréchet differentiable.

This quantity could be attention-grabbing for the vast spectrum of experts operating in Banach area conception, and for researchers in limitless dimensional sensible analysis.

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