## Download e-book for iPad: A Nonlinear Transfer Technique for Renorming by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel

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

ISBN-10: 3540850309

ISBN-13: 9783540850304

ISBN-10: 3540850317

ISBN-13: 9783540850311

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 ebook bargains new innovations 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 neighborhood 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 features and overlaying tools of metrization thought. Any one-to-one operator T from a reflexive area X into c_{0} (T) satisfies the authors' stipulations, shifting the norm to X. however the authors' maps may 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 may be attention-grabbing for the vast spectrum of experts operating in Banach area concept, and for researchers in limitless dimensional useful analysis.