2 papers
math.FA2021
Positivity and polynomial decay of energies for square-field operators
Artur Stephan, Holger Stephan
We show that for a general Markov generator the associated square-field (or carré du champs) operator and all their iterations are positive. The proof is based on an interpolation…
math.FA2016
Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems
Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
In the present paper we advocate the Howland-Evans approach to solution of the abstract non-autonomous Cauchy problem (non-ACP) in a separable Banach space X. The main idea is to r…