Numerical ranges of operators on normed spaces and of elements of normed algebras / F.F. Bonsall and J. Duncan

Bonsall, F. F.

ISBN 10: 0521079888 / ISBN 13: 9780521079884

Published by Cambridge : Cambridge University Press, 1971

About this Item

Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Series; London Mathematical Society lecture note series, 2. Physical description; ii, 142 pages. Notes; Includes bibliographical references (p. 131-137) and index. Contents; Cover; Title; Copyright; Contents; Introduction; 1. Numerical Range In Unital Normed Algebras; 2. ELEMENTARY THEOREMS; 3. THE EXPONENTIAL FUNCTION; 4. NUMERICAL RADIUS THEOREMS; 2. Hermitian Elements of a Complex Unital Banach Algebra; 5. VIDAV'S LEMMA AND APPLICATIONS; 6. THE VIDAV -PALMER THEOREM; 7. APPLICATIONS OF THE VIDAV-PALMERTHEOREM TO B*-ALGEBRAS; 8. OTHER APPLICATIONS OF THE VIDA V -PALMER THEOREM; 3. Operators; 9. THE SPATIAL NUMERICAL RANGE; 10. SPECTRAL PROPERTIES; 11. GEOMETRIC AND TOPOLOGICAL PROPERTIES OF V(T); 4. Some Recent Developments. 12. THE SECOND DUAL OF A BANACH ALGEBRA13. SPECTRAL STATES; 14. REMARKS AND PROBLEMS; BIBLIOGRAPHY; INDEX. Subjects; Normed linear spaces. Banach algebras. Linear operators. Operator theory. Mathematics. 1 Kg.

Seller Inventory # 432758

Bibliographic Details

• Title: Numerical ranges of operators on normed spaces and of elements of normed algebras / F.F. Bonsall and J. Duncan
• Publisher: Cambridge : Cambridge University Press
• Publication Date: 1971
• Language: English
• ISBN 10: 0521079888
• ISBN 13: 9780521079884
• Binding: Soft cover
• Edition: First Edition.
• Weight: 1 kilogram

About this title

Synopsis

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.

Book Description

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.