| An Introduction to Local Spectral Theory Contributor(s): Laursen, Kjeld B. (Author), Neuman, Michael M. (Author) |
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ISBN: 0198523815 ISBN-13: 9780198523819 Publisher: Oxford University Press, USA OUR PRICE: $337.25 Product Type: Hardcover Published: June 2000 Annotation: Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Applied |
| Dewey: 515.722 |
| LCCN: 99053780 |
| Series: London Mathematical Society Monographs |
| Physical Information: 1.4" H x 6.38" W x 9.23" (2.14 lbs) 604 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research. |