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Other titles in the London Mathematical Society Lecture Notes series:
Numerical Ranges of Operators on Normed Spaces & of Elements of Normed Algebrasby F F Bonsall
Synopses & Reviews
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.
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.
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Science and Mathematics » Mathematics » Algebra » Linear Algebra