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 bargains new suggestions for renorming difficulties, them all in response to 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 practical research, optimization and topology utilizing subdifferentials of Lipschitz services and overlaying tools of metrization idea. Any one-to-one operator T from a reflexive area X into c0 (T) satisfies the authors' stipulations, moving the norm to X. however the authors' maps should 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 should be fascinating for the huge spectrum of experts operating in Banach house idea, and for researchers in endless dimensional useful analysis.

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