Commuting Nonselfadjoint Operators in Hilbert Space (Paperback)

Lingua: inglese

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1987

3540183167 / 9783540183167

Da: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller

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Venditore AbeBooks dal 22 giugno 2007

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Descrizione dell’articolo da parte del venditore

Paperback. Classification of commuting non-selfadjoint operators is one of the most challenging problems in operator theory even in the finite-dimensional case. The spectral analysis of dissipative operators has led to a series of deep results in the framework of unitary dilations and characteristic operator functions. It has turned out that the theory has to be based on analytic functions on algebraic manifolds and not on functions of several independent variables as was previously believed. This follows from the generalized Cayley-Hamilton Theorem, due to M.S.Livsic: "Two commuting operators with finite dimensional imaginary parts are connected in the generic case, by a certain algebraic equation whose degree does not exceed the dimension of the sum of the ranges of imaginary parts." Such investigations have been carried out in two directions. One of them, presented by L.L.Waksman, is related to semigroups of projections of multiplication operators on Riemann surfaces. Another direction, which is presented here by M.S.Livsic is based on operator colligations and collective motions of systems. Every given wave equation can be obtained as an external manifestation of collective motions. The algebraic equation mentioned above is the corresponding dispersion law of the input-output waves. This follows from the generalized Cayley-Hamilton Theorem, due to M.S.Livsic: "Two commuting operators with finite dimensional imaginary parts are connected in the generic case, by a certain algebraic equation whose degree does not exceed the dimension of the sum of the ranges of imaginary parts." Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Codice articolo 9783540183167

Titolo
Commuting Nonselfadjoint Operators in Hilbert Space (Paperback)
Autore
Moshe S. Livsic
Editore
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Anno di pubblicazione
1987
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
3540183167
ISBN 13
9783540183167

AussieBookSeller

Truganina, VIC, Australia

Venditore con 5 stelle

Venditore AbeBooks dal 22 giugno 2007

Tariffe di spedizione da Australia a U.S.A.

ArticoloDa 25 a 45 giorni lavorativiDa 8 a 14 giorni lavorativi
Primo articoloEUR 32,97EUR 39,21
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