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Synopsis
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.
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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
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
Ancien ou d'occasion
Couverture souple
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Commuting Nonselfadjoint Operators in Hilbert Space : Two Independent Studies
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
Ancien ou d'occasion
Couverture souple
Vendeur : Buchpark, Trebbin, Allemagne
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Commuting Nonselfadjoint Operators in Hilbert Space
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
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Etat : 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. N° de réf. du vendeur 4883734
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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
Edité par
Springer Berlin Heidelberg, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
Neuf
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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783540183167
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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
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540183167
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics)
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Springer Berlin Heidelberg 2008-10-10, 2008
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
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Commuting Nonselfadjoint Operators in Hilbert Space
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 1987, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9783540183167
Quantité disponible : 2 disponible(s)
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Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies (Lecture Notes in Mathematics 1272)
Edité par
Springer, 1987
ISBN 10 : 3540183167
ISBN 13 : 9783540183167
Ancien ou d'occasion
Couverture souple
Vendeur : Zubal-Books, Since 1961, Cleveland, OH, Etats-Unis
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Etat : Good. 118 pp., Paperback, ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB962771
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