M-Structure and the Banach-Stone Theorem

Ehrhard Behrends (auth.)9780387095332, 0-387-09533-0

Sir Isaac Newton famously said, regarding his discoveries, “If I have seen further it is by standing upon the shoulders of giants.”

The Evolving Universe and the Origin of Life describes, complete with fascinating biographical details of the thinkers involved, the ascent to the metaphorical shoulders accomplished by the greatest minds in history. For the first time, a single book can take the reader on a journey through the history of the universe as interpreted by the expanding body of knowledge of humankind. From subatomic particles to the protein chains that form life, and expanding in scale to the entire universe, this book covers the science that explains how we came to be.

The Evolving Universe and the Origin of Life contains a great breadth of knowledge, from astronomy to physics, from chemistry to biology. It includes over 350 figures that enhance the comprehension of concepts both basic and advanced, and is a non-technical, easy-to-read text at an introductory college level that is ideal for anyone interested in science as well as its history.

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Table of contents :
Preliminaries….Pages 1-6
L-projections and M-projections….Pages 7-32
M-Ideals….Pages 33-52
The centralizer….Pages 53-74
Function modules….Pages 75-107
M-Structure of some classes of Banach spaces….Pages 108-121
Remarks….Pages 122-134
The Banach-Stone theorem….Pages 135-140
The Banach-Stone property and the strong Banach-Stone property….Pages 141-151
Centralizer-norming systems….Pages 152-166
M-structure of C o (M,X)….Pages 167-177
Generalizations of the Banach-Stone theorem….Pages 178-200
Remarks….Pages 201-207