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History of Banach Spaces and Linear Operators

By Albrecht Pietsch

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Named for Banach, who was one of the great mathematicians of the twentieth century, the concept of Banach spaces figures prominently in the study of functional analysis, having applications to integral and differential equations, approximation theory, harmonic analysis, convex geometry, numerical mathematics, analytic complexity, and probability theory.

Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. While other historical texts on the subject focus on developments before 1950, this one is mainly devoted to the second half of the 20th century.

Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. Numerous examples and counterexamples elucidate the scope of the underlying concepts. As a stimulus for further research, the text also contains many problems which have not been previously solved.

The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor. Helpful information is provided for professors in preparing their own lectures on functional analysis.

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	Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras Vladimir Müller, "Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras" BirkhÃ¤user Basel; 2nd ed. edition (October 23, 2007) \| ISBN: 3764382643 \| 439 pages \| PDF \| 3,4 Mb Mirror: MIRROR ...
	Science/Engineering Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces John David Jackson “Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces" Dover Publications \| 2006-10-06 \| ISBN: 0486453081 \| 112 pages \| PDF \| 3,3 MB This concise text for ad ...
	Science/Engineering Linear Operators in Hilbert Spaces Joachim Weidmann "Linear Operators in Hilbert Spaces" Springer \| 1980-05-05 \| ISBN: 0387904271 \| 420 pages \| Djvu \| 3,2 MB
	History of Banach Spaces and Linear Operators Albrecht Pietsch, "History of Banach Spaces and Linear Operators" Birkhäuser Boston \| 2007-04-11 \| ISBN: 0817643672 \| 855 pages \| PDF \| 5,1 MB Named for Banach, who was one of the great mathematicians of the twentieth century, the conc ...
	Technical Topological and Metric Spaces, Banach Spaces and Bounded Operators Topological and Metric Spaces, Banach Spaces and Bounded Operators By Leif MejlbroPublisher: Ventus Publishing ApS 2009 \| 96 Pages \| ISBN: 8776815318 \| PDF \| 1 MB1. Topological and metric spaces1.1 Weiertrass' approximation ...
	Linear Operators in Hilbert Spaces (Graduate Texts in Mathematics) Author: Joachim WeidmannPublisher: Springer (1980)Binding: Hardcover, 420 pagespricer: $55.00ISBN-10: 0387904271editorialreviews

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