Linear Operators and their Spectra Hardback: 106 (Cambridge Studies in Advanced Mathematics, Series Number 106) - Hardcover

Davies

Hardcover

ISBN 10: 0521866294 ISBN 13: 9780521866293

Verlag: Cambridge University Press, 2007

Inhaltsangabe

This authoritative text presents a broad view of the spectral theory of non-self-adjoint linear operators and contains many illustrative examples and exercises. Topics discussed include Fredholm theory, Hilbert-Schmidt and trace class operators, one-parameter semigroups, perturbations of their generators and a thorough account of the new theory of pseudospectra.

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Críticas

'One will look in vain for the notions of pseudospectrum, hull and numerical range in standard functional analysis texts, so Davies has done us a great service by explaining them through beautiful theorems and examples. More generally, his book is the first to offer a comprehensive survey of the spectral theory of non-self-adjoint operators, including both 'classical' and 'cutting edge' results, showing that this theory holds as much promise as the self-adjoint theory in both foundations and application. The scope of the book is truly enormous and is only partly reflected by listing the chapter titles ... [a] beautiful volume, which has no competitors.' The Mathematical Intelligencer

Biografía del autor

E. Brian Davies is a Professor of Mathematics at King's College London and a Fellow of the Royal Society. This is his seventh book.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2007
• ISBN 10: 0521866294
• ISBN 13: 9780521866293
• Einband: Tapa dura
• Sprache: Englisch
• Auflage: 1
• Anzahl der Seiten: 464