Abstract In this paper, by using the boundary perturbation of the generator, the sufficient conditions for the quasi-compactness and irreducibility of the $C_0$-semigroups on Banach lattice were given. Then apply these sufficient conditions to study the quasi-compactness and irreducibility of a series repairable system.
ZHENG Fu, WANG Jia-ni. Quasi-compactness and irreducibility of the operator semigroups. Applied Mathematics A Journal of Chinese Universities, 2015, 30(1): 84-90.
