Linear Operators and their Spectra: Cambridge Studies in Advanced Mathematics, cartea 106
Autor E. Brian Daviesen Limba Engleză Hardback – 25 apr 2007
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Specificații
ISBN-13: 9780521866293
ISBN-10: 0521866294
Pagini: 464
Ilustrații: 15 b/w illus. 274 exercises
Dimensiuni: 158 x 235 x 27 mm
Greutate: 0.76 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521866294
Pagini: 464
Ilustrații: 15 b/w illus. 274 exercises
Dimensiuni: 158 x 235 x 27 mm
Greutate: 0.76 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Studies in Advanced Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
Preface; 1. Elementary operator theory; 2. Function spaces; 3. Fourier transforms and bases; 4. Intermediate operator theory; 5. Operators on Hilbert space; 6. One-parameter semigroups; 7. Special classes of semigroup; 8. Resolvents and generators; 9. Quantitative bounds on operators; 10. Quantitative bounds on semigroups; 11. Perturbation theory; 12. Markov chains and graphs; 13. Positive semigroups; 14. NSA Schrödinger operators.
Recenzii
'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
Notă biografică
Descriere
Authoritative text presenting a broad view of the spectral theory of non-self-adjoint linear operators.