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Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators

Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators

A class of characteristic functions corresponding to commutative systems of unbounded nonselfadjoint operators is studied. The theorem on unitary equivalence is proved. The class of functions corresponding to these commutative systems of unbounded nonselfadjoint operators is described. There is obta...

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Main Author: Zolotarev, V.A.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106640
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spelling irk-123456789-1066402016-10-02T03:02:52Z Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators Zolotarev, V.A. A class of characteristic functions corresponding to commutative systems of unbounded nonselfadjoint operators is studied. The theorem on unitary equivalence is proved. The class of functions corresponding to these commutative systems of unbounded nonselfadjoint operators is described. There is obtained an analogue of the Hamilton{Caley theorem demonstrating that in the case of finite dimensionality of deficient subspaces there exists such a polynomial P (λ₁, λ₂) that annihilates the resolvents Rk = (Ak - αI)⁻¹; P (R₁, R₂) = 0. 2010 Article Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators / V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 2. — С. 192-228. — Бібліогр.: 11 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106640 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description A class of characteristic functions corresponding to commutative systems of unbounded nonselfadjoint operators is studied. The theorem on unitary equivalence is proved. The class of functions corresponding to these commutative systems of unbounded nonselfadjoint operators is described. There is obtained an analogue of the Hamilton{Caley theorem demonstrating that in the case of finite dimensionality of deficient subspaces there exists such a polynomial P (λ₁, λ₂) that annihilates the resolvents Rk = (Ak - αI)⁻¹; P (R₁, R₂) = 0.
format Article
author Zolotarev, V.A.
spellingShingle Zolotarev, V.A.
Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
Журнал математической физики, анализа, геометрии
author_facet Zolotarev, V.A.
author_sort Zolotarev, V.A.
title Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
title_short Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
title_full Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
title_fullStr Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
title_full_unstemmed Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators
title_sort properties of characteristic function of commutative system of unbounded nonselfadjoint operators
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/106640
citation_txt Properties of Characteristic Function of Commutative System of Unbounded Nonselfadjoint Operators / V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 2. — С. 192-228. — Бібліогр.: 11 назв. — англ.
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT zolotarevva propertiesofcharacteristicfunctionofcommutativesystemofunboundednonselfadjointoperators
first_indexed 2023-10-18T20:13:23Z
last_indexed 2023-10-18T20:13:23Z
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