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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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Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
1993
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Series: | Український математичний журнал |
Subjects: | |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155297 |
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