Numerical ranges of operators on normed spaces and of elements of normed algebras
著者
書誌事項
Numerical ranges of operators on normed spaces and of elements of normed algebras
(London Mathematical Society lecture note series, 2)
Cambridge University Press, 1971
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注記
Continued by the authors' Numerical ranges II
Bibliography: p. 131-137
Includes index
内容説明・目次
内容説明
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.
目次
- 1. Numerical range in unital normed algebras
- 2. Hermitian elements of a complex unital Banach algebra
- 3. Operators
- 4. Some recent developments.
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