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.
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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.
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First Edition. 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
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