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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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Bibliographic Details
Main Author: Lytvynov, E. V.
Format: Article
Language:English
Published: Інститут математики НАН України 1993
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155297
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