Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two

by Richard J. Fleming, James E. Jamison

Overview

A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces.

Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.

Product Details

ISBN-13:	9781040209097
Publisher:	CRC Press
Publication date:	11/15/2007
Series:	Monographs and Surveys in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	248
File size:	505 KB

About the Author

Richard J. Fleming, James E. Jamison

Table of Contents

Preface. The Banach-Stone Property. The Banach-Stone Property for Bochner Spaces. Orthogonal Decompostions. Matrix Spaces. Isometries of Norm Ideals of Operators. Minimal and Maximal Norms. Epilogue. Bibliography. Index.

Editorial Reviews

"This is a well-written, highly self-contained book which presents the results and their proofs in an accessible way. The results are complemented with an interesting Notes and Remarks section at the end of each chapter which points the interested reader to paths for further investigation. An extensive bibliography is provided. The two volumes provide not only a very good introduction to the subject but also a nice reference tool for experts."
—Miguel Martin, Mathematical Reviews, Issue 2009i

Praise for Volume One:
"This is a very well-written book. … The authors have done a remarkable job in collecting this material and in exposing it in a very clear style. It will be an important reference tool for analysts, experts, and nonexperts, and it will provide a clear and direct path to several topics of current research interest."
—Juan J. Font, Mathematical Reviews, Issue 2004j

 

From the Publisher