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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 1, Pages 17–23
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-17-23 (Mi nano1080) 		 
MATHEMATICS

Comments on the Chernoff estimate

Valentin A. Zagrebnov

Institut de Mathématiques de Marseille, 13453 Marseille, France
Full-text PDF (303 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-17-23
Abstract: The Chernoff $\sqrt n$-Lemma is revised. This concerns two aspects: a re-examination of the Chernoff estimate in the strong operator topology and the operator-norm estimate for quasi-sectorial contractions. Applications to the Lie–Trotter product formula approximation $C_0$-semigroups are also discussed.
Keywords: Chernoff lemma, semigroup theory, product formula, convergence rate.
Received: 07.01.2022
Revised: 09.01.2022
Bibliographic databases:
Document Type: Article
PACS: 02.30.Sa, 02.30.Tb
Language: English
Citation: Valentin A. Zagrebnov, “Comments on the Chernoff estimate”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022), 17–23
Citation in format AMSBIB
\Bibitem{Zag22}
\by Valentin~A.~Zagrebnov
\paper Comments on the Chernoff estimate
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 1
\pages 17--23
\mathnet{http://mi.mathnet.ru/nano1080}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-1-17-23}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4493905}
\elib{https://elibrary.ru/item.asp?id=48016820}
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