Format:
1 online resource (xii, 451 Seiten)
ISBN:
9780511618864
Series Statement:
Cambridge studies in advanced mathematics 106
Content:
This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521866293
Additional Edition:
ISBN 9780521685351
Additional Edition:
Erscheint auch als Druck-Ausgabe Davies, Edward B., 1944 - Linear operators and their spectra Cambridge [u.a.] : Cambridge Univ. Press, 2007 ISBN 0521866294
Additional Edition:
ISBN 9780521866293
Language:
English
Subjects:
Mathematics
Keywords:
Nichtselbstadjungierter Operator
;
Spektraltheorie
DOI:
10.1017/CBO9780511618864
Author information:
Davies, Edward B. 1944-
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