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Matematicheskie Zametki, 2022, Volume 112, Issue 6, Pages 903–923
DOI: https://doi.org/10.4213/mzm13635 (Mi mzm13635) 		 
Entropy of a Unitary Operator in $\mathbb C^J$

D. V. Treschev, A. O. Chernyshev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm13635
Abstract: The paper deals with the problem of defining, calculating, and studying the properties of the entropy of a unitary operator in a finite-dimensional Hilbert space.
Keywords: entropy of a unitary operator, Hilbert space, unitary operator.
Funding agency Grant number
Russian Science Foundation 20-11-20141
19-71-30012
Sections 1–3 were written by D. V. Treshchev. The studies of D. V. Treshchev were supported by the Russian Science Foundation under grant no. 20-11-20141, https://rscf.ru/project/20-11-20141.
Sections 4–10 were written by A. O. Chernyshev. The studies of A. O. Chernyshev were supported by the Russian Science Foundation under grant no. 19-71-30012, https://rscf.ru/project/19-71-30012.
Received: 29.06.2022
Revised: 08.08.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 6, Pages 984–1002
DOI: https://doi.org/10.1134/S0001434622110323
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: D. V. Treschev, A. O. Chernyshev, “Entropy of a Unitary Operator in $\mathbb C^J$”, Mat. Zametki, 112:6 (2022), 903–923; Math. Notes, 112:6 (2022), 984–1002
Citation in format AMSBIB
\Bibitem{TreChe22}
\by D.~V.~Treschev, A.~O.~Chernyshev
\paper Entropy of a Unitary Operator in $\mathbb C^J$
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 6
\pages 903--923
\mathnet{http://mi.mathnet.ru/mzm13635}
\crossref{https://doi.org/10.4213/mzm13635}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538815}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 6
\pages 984--1002
\crossref{https://doi.org/10.1134/S0001434622110323}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85145417463}
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