Introduction to Local Spectral Theory
Kjeld B. Laursen, Michael M. Neuman
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.
Thể loại:
Năm:
2000
Nhà xuát bản:
Oxford University Press, USA
Ngôn ngữ:
english
Trang:
606
ISBN 10:
0198523815
ISBN 13:
9780198523819
File:
PDF, 8.92 MB
IPFS:
,
english, 2000