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.
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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Paperback. Condizione: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.5. Codice articolo G0521079888I3N00
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Hardcover. Condizione: Good. No Jacket. 142pp. Ex-academic library with associated labels and markings. Hard cover, no jacket. No highlighting or annotations to text. Codice articolo 941850
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Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Da: MW Books Ltd., Galway, Irlanda
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. Codice articolo 432758
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Da: Plurabelle Books Ltd, Cambridge, Regno Unito
Paperback. Condizione: Good. Series: London Mathematical Society Lecture Note Series 142p blue paperback, clean well-spaced pages, from a Cambridge college library, uncommon title, very good Language: English. Codice articolo 98773
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Da: Transformer, Glasgow, Regno Unito
Soft Cover. Condizione: Very Good_. No Jacket. First Edition. 142pp. 9 inches. Original turquoise wraps. Covers sealed in plastic film, lib no on spine. Internally ex-university lib bookplate, etc, else contents as new. London Mathematical Society Lecture Note Series 2. (Mathematics, Topology, Vector, Algebra) 250g Size: 8vo - over 7¾" - 9¾" tall. Codice articolo C14997
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Da: Transformer, Glasgow, Regno Unito
Soft Cover. Condizione: Very Good. No Jacket. First Edition. 142pp. 9 inches. Original turquoise wraps. Unused unread book with slight shelfwear only: slightly rubbed at spine extremities, small crease to upper front corner. Internally pristine, with just a trace of pencilled price on titlepage. London Mathematical Society Lecture Note Series 2. (Mathematics, Topology, Vector, Algebra) 250g Size: 8vo - over 7¾" - 9¾" tall. Codice articolo C08097
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