On the existence of a cyclic vector of some families of operators
It is proved that, under some restrictions, a family of selfadjoint commuting operators A=(Aφ) φ ∈ Φ where Φ is a nuclear space, has a cyclic vcctor iff there exists a Hilbert space H ⊂ Φ′ of full operator-valued measure E, where Φ′ is the dual of Φ, E is the joint resolution of the identity of the...
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| Опубліковано в: : | Український математичний журнал |
|---|---|
| Дата: | 1993 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
1993
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| Теми: | |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/155297 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the existence of a cyclic vector of some families of operators / E. V. Lytvynov // Український математичний журнал. — 1993. — Т. 45, № 10. — С. 1362–1370.. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-155297 |
|---|---|
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dspace |
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Lytvynov, E. V. 2019-06-16T15:42:06Z 2019-06-16T15:42:06Z 1993 On the existence of a cyclic vector of some families of operators / E. V. Lytvynov // Український математичний журнал. — 1993. — Т. 45, № 10. — С. 1362–1370.. — Бібліогр.: 7 назв. — англ. 1027-3190 https://nasplib.isofts.kiev.ua/handle/123456789/155297 517.515 It is proved that, under some restrictions, a family of selfadjoint commuting operators A=(Aφ) φ ∈ Φ where Φ is a nuclear space, has a cyclic vcctor iff there exists a Hilbert space H ⊂ Φ′ of full operator-valued measure E, where Φ′ is the dual of Φ, E is the joint resolution of the identity of the family A. en Інститут математики НАН України Український математичний журнал Статті On the existence of a cyclic vector of some families of operators Про існування циклічного вектора деяких сімей операторів Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the existence of a cyclic vector of some families of operators |
| spellingShingle |
On the existence of a cyclic vector of some families of operators Lytvynov, E. V. Статті |
| title_short |
On the existence of a cyclic vector of some families of operators |
| title_full |
On the existence of a cyclic vector of some families of operators |
| title_fullStr |
On the existence of a cyclic vector of some families of operators |
| title_full_unstemmed |
On the existence of a cyclic vector of some families of operators |
| title_sort |
on the existence of a cyclic vector of some families of operators |
| author |
Lytvynov, E. V. |
| author_facet |
Lytvynov, E. V. |
| topic |
Статті |
| topic_facet |
Статті |
| publishDate |
1993 |
| language |
English |
| container_title |
Український математичний журнал |
| publisher |
Інститут математики НАН України |
| format |
Article |
| title_alt |
Про існування циклічного вектора деяких сімей операторів |
| description |
It is proved that, under some restrictions, a family of selfadjoint commuting operators A=(Aφ) φ ∈ Φ where Φ is a nuclear space, has a cyclic vcctor iff there exists a Hilbert space H ⊂ Φ′ of full operator-valued measure E, where Φ′ is the dual of Φ, E is the joint resolution of the identity of the family A.
|
| issn |
1027-3190 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155297 |
| citation_txt |
On the existence of a cyclic vector of some families of operators / E. V. Lytvynov // Український математичний журнал. — 1993. — Т. 45, № 10. — С. 1362–1370.. — Бібліогр.: 7 назв. — англ. |
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AT lytvynovev ontheexistenceofacyclicvectorofsomefamiliesofoperators AT lytvynovev proísnuvannâciklíčnogovektoradeâkihsímeioperatorív |
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2025-12-07T17:10:48Z |
| last_indexed |
2025-12-07T17:10:48Z |
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1850870278941310976 |