: Albrecht Pietsch
: History of Banach Spaces and Linear Operators
: Birkhäuser Basel
: 9780817645960
: 1
: CHF 218.30
:
: Allgemeines, Lexika
: English
: 855
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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.

Contents6
Preface13
Notation and Terminology17
Introduction18
1 The Birth of Banach Spaces23
2 Historical Roots and Basic Results47
3 Topological Concepts – Weak Topologies78
4 Classical Banach Spaces108
5 Basic Results from the Post-Banach Period180
6 Modern Banach Space Theory – Selected Topics310
7 Miscellaneous Topics572
8 Mathematics Is Made by Mathematicians611
Chronology695
Original Quotations702
Bibliography705
Index856