Add to ORKG金沢大学大学院自然科学研究科機能開発システム金沢大学工学部An example is given which clarifies the present situation of the operator norm convergence of Trotter-Kato product formula. It shows that the rate of convergence of the formula with respect to the operator norm obtained in [NZ2] is best possible. It also yields a counter-example of the operator norm convergence of the formula in another case
Let Δ$_{Ωε}$ be the Dirichlet Laplacian in the domain Ωε := Ω \ (∪$_{i}$D$_{iε}$). Here Ω ⊂ R$^{n}$a...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
AbstractIt is proven that the Trotter product formula converges in the norm of a symmetrically norme...
An example is given which clarifies the present situation of the operator norm convergence of Trotte...
AbstractLet A and B be non-negative self-adjoint operators in a Hilbert space such that their densel...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
International audienceThe paper is devoted to evolution equations of the form ∂ ∂t u(t) = −(A + B(t)...
Let $A$ and $B$ be non-negative self-adjoint operators in a separable Hilbert space such that its fo...
Let $A$ and $B$ be non-negative self-adjoint operators in a separable Hilbert space such that its fo...
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to conve...
In this paper, we obtain an approximation theorem by max-product operators with the use of power ser...
AbstractA Trotter–Kato type result is proved for a class of second order difference inclusions in a ...
Let Δ$_{Ωε}$ be the Dirichlet Laplacian in the domain Ωε := Ω \ (∪$_{i}$D$_{iε}$). Here Ω ⊂ R$^{n}$a...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...
AbstractIt is proven that the Trotter product formula converges in the norm of a symmetrically norme...
An example is given which clarifies the present situation of the operator norm convergence of Trotte...
AbstractLet A and B be non-negative self-adjoint operators in a Hilbert space such that their densel...
AbstractWe extend the Trotter–Kato–Chernoff theory of strong approximation of C0 semigroups on Banac...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
International audienceThe paper is devoted to evolution equations of the form ∂ ∂t u(t) = −(A + B(t)...
Let $A$ and $B$ be non-negative self-adjoint operators in a separable Hilbert space such that its fo...
Let $A$ and $B$ be non-negative self-adjoint operators in a separable Hilbert space such that its fo...
We revise the strong convergent Chernoff product formula and extend it, in a Hilbert space, to conve...
In this paper, we obtain an approximation theorem by max-product operators with the use of power ser...
AbstractA Trotter–Kato type result is proved for a class of second order difference inclusions in a ...
Let Δ$_{Ωε}$ be the Dirichlet Laplacian in the domain Ωε := Ω \ (∪$_{i}$D$_{iε}$). Here Ω ⊂ R$^{n}$a...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, the Trotter-type fo...