Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras
( London Mathematical Society Lecture Note Series )
Publication series ：London Mathematical Society Lecture Note Series
Author： F. F. Bonsall;J. Duncan;
Publisher： Cambridge University Press
Publication year： 1971
E-ISBN: 9781316890882
P-ISBN(Paperback): 9780521079884
P-ISBN(Hardback): 9780521079884
Subject： O241 数值分析
Keyword： 数学
Language： ENG
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Description
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 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 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 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. 1. Numerical range in unital normed algebras; 2. Hermitian elements of a complex unital Banach algebra; 3. Operators; 4. Some recent developments.