Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup
Abstract
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) 0 solving the non-autonomous Cauchy problem can be approximated in the trace-norm topology by product formulae. The rate of convergence of product formulae approximants U n (t, s) 0,n1 to the solution operator U(t, s) 0 is also established.
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