On the existence of a cyclic vector of some families of operators
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the existence of a cyclic vector of some families of operators
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| Creator |
Lytvynov, E. V.
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| Subject |
Стаття
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| 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.
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| Date |
2019-06-16T15:42:06Z
2019-06-16T15:42:06Z 1993 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/155297 517.515 |
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| Language |
en
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| Relation |
Український математичний журнал
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| Publisher |
Інститут математики НАН України
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