Comments on the Chernoff √ n-Lemma
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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.
[1] P. Chernoff. Product formulas, nonlinear semigroups, and addition of unbounded operators , 1974 .
[2] Operator-Norm Approximation of Semigroups by Quasi-sectorial Contractions , 2001 .
[3] On operator-norm approximation of some semigroups by quasi-sectorial operators , 2004 .
[4] Quasi-Sectorial Contractions , 2007 .