Cover image for Numerical ranges of operators on normed spaces and of elements of normed algebras
Title:
Numerical ranges of operators on normed spaces and of elements of normed algebras
Personal Author:
Publication Information:
Cambridge : Cambridge Univ. Pr., 1971
ISBN:
9780521079884

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30000000193122 QA251 B65 1971 Open Access Book Book
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Summary

Summary

The theory of the numerical range of a linear operator on an arbitrary normed space had its beginnings around 1960, and during the 1970s the subject has developed and expanded rapidly. This book presents a self-contained exposition of the subject as a whole. The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.


Table of Contents

1 Numerical range in unital normed algebras
2 Hermitian elements of a complex unital Banach algebra
3 Operators
4 Some recent developments