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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| Видавець: | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106640 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106640 |
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dspace |
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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 |
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2023-10-18T20:13:23Z |
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