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 booklet deals new innovations 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 offer in the community uniformly rotund renormings on X, are studied and a brand new body for the speculation is got, with interaction among sensible research, optimization and topology utilizing subdifferentials of Lipschitz features and protecting equipment of metrization conception. 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 could be faraway from linear, for example the duality map from X to X* supplies a non-linear instance while the norm in X is Fréchet differentiable.
This quantity might be fascinating for the large spectrum of experts operating in Banach area concept, and for researchers in limitless dimensional practical analysis.
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Additional info for A Nonlinear Transfer Technique for Renorming (Lecture Notes in Mathematics)
A Nonlinear Transfer Technique for Renorming (Lecture Notes in Mathematics) by Aníbal Moltó,José Orihuela,Stanimir Troyanski,Manuel Valdivia