Comments on the Chernoff √ n-Lemma

Valentin A. Zagrebnov (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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

Mots clés: Chernoff lemma; semigroup theory; product formula; convergence rate

Domaines: Analyse fonctionnelle [math.FA]

Valentin A. Zagrebnov. Comments on the Chernoff √ n-Lemma. 2016. ⟨hal-01266569v1⟩