Add to ORKGThe aim of this paper is to examine the convergence of Trotter’s prod-uct formula when one of the C0-semigroups is replaced by a projection (which can always be regarded as a constant degenerate semigroup). The motivation to study Trotter’s formula in this setting arises from the fact that for ’nice ’ open sets Ω ∈ Rn the C0-semigroup on L2(Ω) generated by the Laplacian with Dirichlet boundary conditions can be obtained as a limit of a formula of this type.
International audienceThe paper improves approximation theory based on the Trotter-Kato product form...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
AbstractA semigroup {T(t); t > 0} of linear operators is called of growth order α ⩾ 0 if its norm be...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
AbstractWe consider the Laplacian ΔR subject to Robin boundary conditions ∂u∂ν+βu=0 on the space C(Ω...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
It is shown that for a certain class of the Kato functions the Trotter-Kato product formulae converg...
Abstract. We present formulations of the Trotter-Kato theorem for approx-imation of linear C0-semigr...
A quantitative version, based on modified K-functionals, of the classical Trotter’s theorem concerni...
AbstractWe extend the well known theorem on convergence and approximation of C0-semigroups due to H....
This paper concerns versions of the Trotter-Kato Theorem and the Chernoff Product Formula for C0-sem...
AbstractWe study a number of sufficient conditions which guarantee the convergence of semigroup prod...
AbstractThe aim of this paper is to give a characterization in Hilbert spaces of the generators of C...
AbstractWe improve the quantitative estimate of the convergence in Trotter’s approximation theorem a...
We study a number of sufficient conditions which guarantee the convergence of semigroup product form...
International audienceThe paper improves approximation theory based on the Trotter-Kato product form...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
AbstractA semigroup {T(t); t > 0} of linear operators is called of growth order α ⩾ 0 if its norm be...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
AbstractWe consider the Laplacian ΔR subject to Robin boundary conditions ∂u∂ν+βu=0 on the space C(Ω...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
It is shown that for a certain class of the Kato functions the Trotter-Kato product formulae converg...
Abstract. We present formulations of the Trotter-Kato theorem for approx-imation of linear C0-semigr...
A quantitative version, based on modified K-functionals, of the classical Trotter’s theorem concerni...
AbstractWe extend the well known theorem on convergence and approximation of C0-semigroups due to H....
This paper concerns versions of the Trotter-Kato Theorem and the Chernoff Product Formula for C0-sem...
AbstractWe study a number of sufficient conditions which guarantee the convergence of semigroup prod...
AbstractThe aim of this paper is to give a characterization in Hilbert spaces of the generators of C...
AbstractWe improve the quantitative estimate of the convergence in Trotter’s approximation theorem a...
We study a number of sufficient conditions which guarantee the convergence of semigroup product form...
International audienceThe paper improves approximation theory based on the Trotter-Kato product form...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
AbstractA semigroup {T(t); t > 0} of linear operators is called of growth order α ⩾ 0 if its norm be...