Download Banach Space Theory: The Basis for Linear and Nonlinear by Marián Fabian,Petr Habala,Petr Hájek,Vicente PDF

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

Banach areas offer a framework for linear and nonlinear practical research, operator conception, summary research, likelihood, optimization and different branches of arithmetic. This booklet introduces the reader to linear practical research and to comparable elements of infinite-dimensional Banach area theory.
Key positive factors:
- Develops classical thought, together with susceptible topologies, in the community convex house, Schauder bases and compact operator idea
- Covers Radon-Nikodým estate, finite-dimensional areas and native concept on tensor items
- comprises sections on uniform homeomorphisms and non-linear conception, Rosenthal's L1 theorem, fastened issues, and more
- contains information regarding extra issues and instructions of analysis and a few open difficulties on the finish of every bankruptcy
- presents a number of routines for perform
The textual content is acceptable for graduate classes or for self sustaining research. must haves comprise simple classes in calculus and linear. Researchers in sensible research also will gain for this e-book because it can function a reference book.

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