najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-1-17-23najo-210Research ArticleСтатьиComments on the Chernoff estimateZagrebnovV. A.valentin.zagrebnov@univ-amu.frInstitut de Mathe´matiques de MarseilleRussian Federation2022060620251311723Copyright © Zagrebnov V.A., 20252025Zagrebnov V.A.Zagrebnov V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/210

The Chernoff √n-Lemma is revised. This concerns two aspects: a re-examination of the Chernoff estimate in the strong operator topology and the operator-norm estimate for quasi-sectorial contractions. Applications to the Lie-Trotter product formula approximation C 0-semigroups are also discussed.

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