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Chernoff’s theorem on one-parametric semigroups

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Abstract

A closability of operators appearing under some analytic conditions close to conditions of the well-known Chernoff theorem on approximation of one-parametric operator semigroups is proved, existence of a semigroup is not required. An example of a nonclosed operator satisfying these conditions is presented.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. N. Urinovskii

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  1. A. N. Urinovskii
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Original Russian Text © A.N. Urinovskii, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 4, pp. 46–48.

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Urinovskii, A.N. Chernoff’s theorem on one-parametric semigroups. Moscow Univ. Math. Bull. 63, 159–161 (2008). https://doi.org/10.3103/S0027132208040062

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  • DOI: https://doi.org/10.3103/S0027132208040062

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