An introduction to local spectral theory / Kjeld B. Laursen and Michael M. Neumann.

Format:

Book

Author/Creator:

Laursen, K. B.

Contributor:

Neumann, Michael, 1950-

Alumni and Friends Memorial Book Fund.

Series:

Oxford science publications

London Mathematical Society monographs ; new ser., no. 20.

London Mathematical Society monographs ; new ser., 20

Language:

English

Subjects (All):

Spectral theory (Mathematics).

Physical Description:

xii, 591 pages ; 24 cm.

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 2000.

Summary:

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.

Notes:

Includes bibliographical references (pages [549]-574) and indexes.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

0198523815

OCLC:

42726132