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Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

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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.

Author(s): F. F. Bonsall, J. Duncan
Series: London Mathematical Society Lecture Note Series
Edition: 1
Publisher: Cambridge University Press
Year: 1971

Language: English
Commentary: +OCR
Pages: 148