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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies: 1272 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
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.
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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.
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics 1272)
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Commuting nonselfadjoint operators in Hilbert space. Two independent studies.
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Berlin, Springer-Verlag, 1987
ISBN 10: 3540183167
ISBN 13: 9783540183167
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics, 1272)
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics, 1272)
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics, 1272)
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics, 1272)
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics)
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Commuting Nonselfadjoint Operators in Hilbert Space
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Springer Berlin Heidelberg Sep 1987, 1987
ISBN 10: 3540183167
ISBN 13: 9783540183167
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 120 pp. Englisch. Nº de ref. del artículo: 9783540183167
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Commuting Nonselfadjoint Operators in Hilbert Space
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540183167
ISBN 13: 9783540183167
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 unit. Nº de ref. del artículo: 4883734
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics)
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540183167
ISBN 13: 9783540183167
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Paperback. Condición: Brand New. 1987 edition. 118 pages. 9.25x6.10x0.28 inches. In Stock. Nº de ref. del artículo: x-3540183167
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