%0 Book Section %T Comments on the Chernoff √ n-Lemma %+ Institut de Mathématiques de Marseille (I2M) %A Zagrebnov, Valentin %Z EU Marie Curie IRSES program, Projet AOS, N° 318910 %Z Dedicated to Pavel Exner on the occasion of his 70th anniversary. %@ 978-3-03719-175-0 %B Functional Analysis and Operator Theory for Quantum Physics %E Jaroslav Dittrich (Czech Academy of Sciences %E Rez-Prague %E Czech Republic) Hynek Kovařík (Università degli Studi di Brescia %E Italy) Ari Laptev (Imperial College London %E UK) %I European Math.Soc. %C Zürich %S The Pavel Exner Anniversary Volume %P 565 - 573 %8 2017-05 %D 2017 %Z 1602.01438 %R 10.4171/175 %K Chernoff lemma %K semigroup theory %K product formula %K convergence rate %Z Mathematics [math]/Functional Analysis [math.FA]Book sections %X 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. %G English %2 https://hal.science/hal-01266569v2/document %2 https://hal.science/hal-01266569v2/file/Zagrebnov-Pavel70HALv2.pdf %L hal-01266569 %U https://hal.science/hal-01266569 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ I2M %~ I2M-2014-