Comments on the Chernoff $n$ -lemma

Valentin A. Zagrebnov
Centre de Mathématiques et Informatique, Marseille, France

$Comments on the Chernoff $\sqrt n$-lemma cover$

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Abstract

The Chernoff $n$ -lemma is revised. This concerns two aspects: an improvement of the Chernoff estimate in the strong operator topology and an operator-norm estimate for quasi-sectorial contractions. Applications to the Lie–Trotter product formula approximation for semigroups is presented.