A. F. M. ter Elst, V. A. Zagrebnov, “Construction of dynamical semigroups by a functional regularization à la Kato”, TMF, 2020, Volume 204, Number 1,Pages <nobr>46

This article is cited in 1 paper

Construction of dynamical semigroups by a functional regularization à la Kato

A. F. M. ter Elst^a, V. A. Zagrebnov^bc

^a Department of Mathematics, University of Auckland, Auckland, New Zealand
^b Institut de Mathématiques de Marseille, Marseille, France
^c Département de Mathématiques, Université d’Aix-Marseille, Marseille, France

Abstract: We introduce a functional version of the Kato one-parameter regularization for constructing a dynamical semigroup generator of a relative bound-one perturbation. As an example of an application, we consider a regularization based on a boson-number cutoff.

Keywords: dynamical semigroup, perturbation, Kato regularization, positivity preserving.

Received: 24.12.2019
Revised: 27.01.2020

DOI: 10.4213/tmf9871