Isometries on Banach Spaces: function spaces

by Richard J. Fleming, James E. Jamison

Overview

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric

Product Details

ISBN-13:	9781040205235
Publisher:	CRC Press
Publication date:	12/23/2002
Series:	Monographs and Surveys in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	208
File size:	469 KB

About the Author

Fleming, Richard J.; Jamison, James E.

Table of Contents

Beginnings. Continuous Function Spaces--The Banach-Stone Theorem. The L(p) Spaces. Isometries of Spaces of Analytic Functions. Rearrangement Invariant Spaces. Banach Algebras. Bibliography. Index.

Editorial Reviews

"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