Get Banach Space Theory: The Basis for Linear and Nonlinear PDF

By Marián Fabian,Petr Habala,Petr Hájek,Vicente Montesinos,Václav Zizler

Banach areas supply a framework for linear and nonlinear useful research, operator conception, summary research, likelihood, optimization and different branches of arithmetic. This publication introduces the reader to linear sensible research and to comparable components of infinite-dimensional Banach area theory.
Key beneficial properties:
- Develops classical concept, together with vulnerable topologies, in the community convex area, Schauder bases and compact operator idea
- Covers Radon-Nikodým estate, finite-dimensional areas and native idea on tensor items
- includes sections on uniform homeomorphisms and non-linear idea, Rosenthal's L1 theorem, mounted issues, and more
- comprises information regarding extra issues and instructions of study and a few open difficulties on the finish of every bankruptcy
- offers a number of workouts for perform
The textual content is acceptable for graduate classes or for self sufficient research. necessities comprise easy classes in calculus and linear. Researchers in useful research also will gain for this publication because it can function a reference book.

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Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics) by Marián Fabian,Petr Habala,Petr Hájek,Vicente Montesinos,Václav Zizler


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