History of banach spaces and linear operators
著者
書誌事項
History of banach spaces and linear operators
Birkhäuser, c2007
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
The Birth of Banach Spaces.- Historical Roots and Basic Results.- Topological Concepts - Weak Topologies.- Classical Banach Spaces.- Basic Results from the Post-Banach Period.- Modern Banach Space Theory - Selected Topics.- Miscellaneous Topics.- Mathematics Is Made by Mathematicians.
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