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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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Übungen für die MundöffnungslauteIn this chapter we discuss some basic techniques in nonlinear analysis on Banach spaces that are frequently used in applications in related fields. The classical approach uses differentiability, and we discuss this concept in infinite-dimensional Banach spaces.
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Valentin L. Popov,Markus Heß,Emanuel WillertIn this chapter, we will first discuss the properties of smoothness in .. spaces and in Hilbert spaces. Then we study spaces that have countable James boundary in connection with their higher order smoothness, and its applications. In particular, we study spaces of continuous functions on countable compact spaces.
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Erratum to: Die Toiletteseifen,This chapter is an introduction to the topological theory of tensor products of Banach spaces. The focus lies on the applications of tensors in the duality theory for spaces of operators, and their structure as Banach spaces. We discuss the role of the approximation property and Enflo’s example of a Banach space without the approximation property.
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