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math.FA2020★ 12 cited
Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey
Hagen Neidhardt, Artur Stephan, Valentin Zagrebnov
We give a review of results on the operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces, which is focused on the problem of its convergence rates.…
math.FA2020
Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup
Valentin Zagrebnov
The paper is devoted to a linear dynamics for non-autonomous perturbation of the Gibbs semigroup on a separable Hilbert space. It is shown that evolution family {U(t, s)} 0s$\…