E-Book, Englisch, 855 Seiten
Pietsch History of Banach Spaces and Linear Operators
1. Auflage 2007
ISBN: 978-0-8176-4596-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 855 Seiten
ISBN: 978-0-8176-4596-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Contents;6
2;Preface;13
3;Notation and Terminology;17
4;Introduction;18
5;1 The Birth of Banach Spaces;23
6;2 Historical Roots and Basic Results;47
7;3 Topological Concepts – Weak Topologies;78
8;4 Classical Banach Spaces;108
9;5 Basic Results from the Post-Banach Period;180
10;6 Modern Banach Space Theory – Selected Topics;310
11;7 Miscellaneous Topics;572
12;8 Mathematics Is Made by Mathematicians;611
13;Chronology;695
14;Original Quotations;702
15;Bibliography;705
16;Index;856
