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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 4, Pages 113–117
DOI: https://doi.org/10.4213/faa4011 (Mi faa4011) 		 
Brief communications

Tensor simple spectrum of unitary flows

V. V. Ryzhikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa4011
Abstract: Unitary flows $T_t$ of dynamical origin such that, for any countable $Q\subset (0,+\infty)$, the spectrum of the tensor product $\bigotimes_{q\in Q} T_q $ is simple are constructed. All typical flows preserving a sigma-finite measure have this property.
Keywords: unitary flow, weak closure, spectrum, tensor product of operators.
Received: 04.05.2022
Revised: 14.05.2022
Accepted: 21.05.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 4, Pages 327–330
DOI: https://doi.org/10.1134/S0016266322040116
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: V. V. Ryzhikov, “Tensor simple spectrum of unitary flows”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 113–117; Funct. Anal. Appl., 56:4 (2022), 327–330
Citation in format AMSBIB
\Bibitem{Ryz22}
\by V.~V.~Ryzhikov
\paper Tensor simple spectrum of unitary flows
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 4
\pages 113--117
\mathnet{http://mi.mathnet.ru/faa4011}
\crossref{https://doi.org/10.4213/faa4011}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 4
\pages 327--330
\crossref{https://doi.org/10.1134/S0016266322040116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85160342259}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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