ACTA issues

## Positive Desch--Schappacher perturbations of bi-continuous semigroups {on $\mathrm {AM}$-spaces}

Christian Budde

Acta Sci. Math. (Szeged) 87:3-4(2021), 571-594
414/2021

 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.)