Comments on the Chernoff $\sqrt$ n-Lemma
Valentin Zagrebnov (I2M)
TL;DR
This paper revises the Chernoff $\
Contribution
It introduces improved estimates for the Chernoff lemma and applies them to the Lie-Trotter product formula for semigroups.
Findings
Enhanced Chernoff estimate in strong operator topology
Operator-norm estimate for quasi-sectorial contractions
Applications to semigroup approximation
Abstract
The Chernoff \sqrt 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.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems