On the existence of a cyclic vector of some families of operators

dc.contributor.author	Lytvynov, E. V.
dc.date.accessioned	2019-06-16T15:42:06Z
dc.date.available	2019-06-16T15:42:06Z
dc.date.issued	1993
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1027-3190
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155297
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Український математичний журнал
dc.subject	Статті	uk_UA
dc.title	On the existence of a cyclic vector of some families of operators	uk_UA
dc.title.alternative	Про існування циклічного вектора деяких сімей операторів	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA
dc.identifier.udc	517.515