Perturbations of Positive Semigroups on AM-Spaces
A. B\'atkai, B. Jacob, J. Voigt, J. Wintermayr

TL;DR
This paper investigates how positive perturbations affect positive semigroups on AM-spaces, extending known results from AL-spaces and applying findings to unbounded perturbations of the shift semigroup.
Contribution
It provides a dual counterpart to Desch's perturbation theorem for AL-spaces, specifically for AM-spaces, and explores unbounded perturbations of the shift semigroup.
Findings
Established a dual perturbation result for AM-spaces
Extended perturbation theory to unbounded shift semigroup perturbations
Connected perturbation results between AM- and AL-spaces
Abstract
We consider positive perturbations of positive semigroups on AM-spaces and prove a result which is the dual counterpart of a famous perturbation result of Desch in AL-spaces. As an application we consider unbounded perturbations of the shift semigroup.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering
