Commuting Nonselfadjoint Operators in Hilbert Space (Paperback)

Idioma: inglés

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

3540183167 / 9783540183167

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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.…

N° de ref. del artículo 9783540183167

Título
Commuting Nonselfadjoint Operators in Hilbert Space (Paperback)
Autor
Moshe S. Livsic
Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Año de publicación
1987
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
3540183167
ISBN 13
9783540183167

AussieBookSeller

Truganina, VIC, Australia

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ArtículoDe 25 a 45 días hábilesDe 8 a 14 días hábiles
Primer artículoEUR 33,03EUR 39,27
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