This article is cited in 7 papers

Inversion of Chernoff's Theorem

A. Yu. Neklyudov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.983

Received: 15.05.2007
Revised: 12.10.2007

DOI: 10.4213/mzm4577

 English version: Mathematical Notes, 2008, 83:4, 530–538

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