Banach areas supply a framework for linear and nonlinear useful research, operator concept, summary research, likelihood, optimization and different branches of arithmetic. This publication introduces the reader to linear practical research and to similar elements of infinite-dimensional Banach house concept. Key positive factors: - Develops classical idea, together with susceptible topologies, in the neighborhood convex area, Schauder bases and compact operator conception - Covers Radon-Nikodým estate, finite-dimensional areas and native concept on tensor items - includes sections on uniform homeomorphisms and non-linear conception, Rosenthal's L1 theorem, fastened issues, and extra - contains information regarding extra subject matters and instructions of study and a few open difficulties on the finish of every bankruptcy - offers a variety of routines for perform The textual content is appropriate for graduate classes or for autonomous learn. necessities contain uncomplicated classes in calculus and linear. Researchers in practical research also will profit for this publication because it can function a reference ebook.
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