Comments on the Chernoff -lemma

  • Valentin A. Zagrebnov

    Centre de Mathématiques et Informatique, Marseille, France
Comments on the Chernoff $\sqrt n$-lemma cover

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The Chernoff -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.