Add to ORKGThe purpose of the present notes is to examine the following issues related to the the Chernoff estimate: (1) For contractions on a Banach space we modify the √ n-estimate and apply it in the proof of the Chernoff product formula for C 0-semigroups in the strong operator topology. (2) We use the idea of a probabilistic approach, proving the Chernoff estimate in the strong operator topology, to uplift it to the operator-norm estimate for quasi-sectorial contraction semigroups. (3) The operator-norm Chernoff estimate is applied to quasi-sectorial contraction semigroups for proving the operator-norm convergence of the Dunford-Segal approximants
In this paper we collect results concerning the {operator-norm} convergent {Trotter} product formula...
Dedicated to Pavel Exner on the occasion of his 70th anniversary.International audienceThe Chernoff ...
12 pagesInternational audienceWe revise the operator-norm convergence of the Trotter product formula...
The purpose of the present notes is to examine the following issues related to the the Chernoff esti...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to conve...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
AbstractWe extend the Chernoff theory of approximation of contraction semigroups à la Trotter. We sh...
The operator-norm convergence of the Trotter product formula has been proved since 1990 with differe...
AbstractWe use some results and methods of the probability theory to improve bounds for the converge...
AbstractWe revise the notion of the quasi-sectorial contractions. Our main theorem establishes a rel...
The theory of one parameter semigroups of bounded linear operators on Banach spaces has deep and far...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
The results in this survey indicate that the quantitative behaviour of the semigroup at the origin p...
ArticleIn this article we provide a set of sufficient conditions that allow a natural extension of C...
In this paper we collect results concerning the {operator-norm} convergent {Trotter} product formula...
Dedicated to Pavel Exner on the occasion of his 70th anniversary.International audienceThe Chernoff ...
12 pagesInternational audienceWe revise the operator-norm convergence of the Trotter product formula...
The purpose of the present notes is to examine the following issues related to the the Chernoff esti...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to conve...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
AbstractWe extend the Chernoff theory of approximation of contraction semigroups à la Trotter. We sh...
The operator-norm convergence of the Trotter product formula has been proved since 1990 with differe...
AbstractWe use some results and methods of the probability theory to improve bounds for the converge...
AbstractWe revise the notion of the quasi-sectorial contractions. Our main theorem establishes a rel...
The theory of one parameter semigroups of bounded linear operators on Banach spaces has deep and far...
This thesis presents and develops two tools which can be used to work with lower bounds of operators...
The results in this survey indicate that the quantitative behaviour of the semigroup at the origin p...
ArticleIn this article we provide a set of sufficient conditions that allow a natural extension of C...
In this paper we collect results concerning the {operator-norm} convergent {Trotter} product formula...
Dedicated to Pavel Exner on the occasion of his 70th anniversary.International audienceThe Chernoff ...
12 pagesInternational audienceWe revise the operator-norm convergence of the Trotter product formula...