Spectral inclusion between a regularized quasi-semigroups and their generators

Abstract

The notion of a regularized quasi-semigroups (or C-quasi-semigroups) of a bounded linear operators, as a generalization of C0-quasi-semigroups of a bounded linear operators, was introduced by M. Janfada in 2010. In this paper, we will show some results concerning a regularized quasi-semigroups and we are going to show a spectral inclusion of a different spectra of a C-quasi-semigroups of a bounded linear operators on a Banach space and their infinitesimal generators.