|
Abstract. In this paper, we consider positive Desch--Schappacher perturbations of bi-continuous semigroups on $\mathrm {AM}$-spaces with an additional property concerning the additional locally convex topology. As an example, we discuss perturbations of the left-translation semigroup on the space of bounded continuous functions on the real line and on the space of bounded linear operators.
DOI: 10.14232/actasm-021-914-5
AMS Subject Classification
(1991): 47D03, 47A55, 34G10, 46A70, 46A40
Keyword(s):
bi-continuous semigroups,
positivity,
Desch--Schappacher perturbation,
Gamma function
received 14.4.2021, revised 8.7.2021, accepted 10.7.2021. (Registered under 414/2021.)
|