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Matematicheskie Zametki, 2008, Volume 83, Issue 4, Pages 581–589
DOI: https://doi.org/10.4213/mzm4577 (Mi mzm4577) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Inversion of Chernoff's Theorem

A. Yu. Neklyudov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (437 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm4577
Abstract: In this paper, we prove a theorem which is the inversion of Chernoff's theorem. As a consequence of this result, we obtain conditions for the validity of the Chernoff and Trotter product formulas.
Keywords: Chernoff's theorem, Chernoff product formula, Trotter product formula, Banach space, Feynman integral, contraction semigroup, precompact set.
Received: 15.05.2007
Revised: 12.10.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 4, Pages 530–538
DOI: https://doi.org/10.1134/S0001434608030267
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: A. Yu. Neklyudov, “Inversion of Chernoff's Theorem”, Mat. Zametki, 83:4 (2008), 581–589; Math. Notes, 83:4 (2008), 530–538
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm4577
  • https://www.mathnet.ru/eng/mzm/v83/i4/p581
    • This publication is cited in the following 5 articles:
    1. Sakbaev V.Zh., “Averaging of Random Flows of Linear and Nonlinear Maps”, European Conference - Workshop Nonlinear Maps and Applications, Journal of Physics Conference Series, 990, IOP Publishing Ltd, 2018, UNSP 012012  crossref  mathscinet  isi  scopus
    2. I. V. Volovich, V. Zh. Sakbaev, “On quantum dynamics on C∗-algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. A. K. Kravtseva, “Infinite-Dimensional Schrödinger Equations with Polynomial Potentials and Representation of Their Solutions via Feynman Integrals”, Math. Notes, 94:5 (2013), 824–828  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. Neeb K.-H., “On differentiable vectors for representations of infinite dimensional Lie groups”, J. Funct. Anal., 259:11 (2010), 2814–2855  crossref  mathscinet  zmath  isi  elib  scopus
    5. A. Yu. Neklyudov, “Analogues of Chernoff's theorem and the Lie-Trotter theorem”, Sb. Math., 200:10 (2009), 1495–1519  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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