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

by F. F. Bonsall, J. Duncan

Series: London Mathematical Society Lecture Note Series (No. 2)

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.