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  3. Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras
Publisher:
Cambridge University Press
Online publication date:
June 2013
Print publication year:
1971
Online ISBN:
9781107359895
DOI:
https://doi.org/10.1017/CBO9781107359895
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis
Series:
London Mathematical Society Lecture Note Series (2)
Information

Book description

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.

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