History of Banach Spaces and Linear Operators

History of Banach Spaces and Linear Operators
Author: Albrecht Pietsch
Publisher: Springer Science & Business Media
Total Pages: 877
Release: 2007-12-31
Genre: Mathematics
ISBN: 0817645969


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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. 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. 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.


History of Banach Spaces and Linear Operators
Language: en
Pages: 877
Authors: Albrecht Pietsch
Categories: Mathematics
Type: BOOK - Published: 2007-12-31 - Publisher: Springer Science & Business Media

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Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded
Factorization of Linear Operators and Geometry of Banach Spaces
Language: en
Pages: 166
Authors: Gilles Pisier
Categories: Mathematics
Type: BOOK - Published: 1986 - Publisher: American Mathematical Soc.

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"Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--T.p. verso.
Theory of Linear Operations
Language: en
Pages: 249
Authors: S. Banach
Categories: Computers
Type: BOOK - Published: 1987-03-01 - Publisher: Elsevier

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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of opera
Basic Classes of Linear Operators
Language: en
Pages: 428
Authors: Israel Gohberg
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equ
Spectral Theory of Linear Operators
Language: en
Pages: 444
Authors: Vladimir Müller
Categories: Mathematics
Type: BOOK - Published: 2007-12-24 - Publisher: Springer Science & Business Media

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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concernin