Titlebook: Banach Space Theory; The Basis for Linear Marián Fabian,Petr Habala,Václav Zizler Textbook 2011 Springer Science+Business Media, LLC 2011 R

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Basics in Nonlinear Geometric Analysis,paces. We prove Keller’s theorem on homeomorphism of infinite-dimensional compact convex sets in Banach spaces to .. We also prove the Kadec theorem on the homeomorphism of every separable reflexive space to a Hilbert space. Then we prove some results on uniform, in particular Lipschitz, homeomorphisms.

HAWK

Weakly Compactly Generated Spaces,ctly generated spaces, in short WCG spaces). We focus on their decomposition properties, renormings, and on the topological properties of their dual spaces. We prove that WCG spaces are generated by reflexive spaces. Then we study absolutely summing operators and the Dunford–Pettis property.

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annexation

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Zur Typologie der politischen Parteienof the local theory of Banach spaces. It is a vast and deep part of Banach space theory intimately related to probability and combinatorics. Our goal is to familiarize the reader with some of its basic notions and results that are accessible without the use of deep probabilistic tools.

CESS

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Valentin L. Popov,Markus Heß,Emanuel Willertroperty has several equivalent characterizations and applications. In particular, Asplund spaces are characterized by the Radon–Nikodým property of their dual spaces. As another application, we show that Lipschitz mappings from separable Banach spaces into Banach spaces with RNP are at some points G