SPECTRAL INCLUSION BETWEEN A REGULARIZED QUASI-SEMIGROUPS AND THEIR GENERATORS

SPECTRAL INCLUSION BETWEEN A REGULARIZED QUASI-SEMIGROUPS AND THEIR GENERATORS

A. Tajmouati, Y. Zahouan

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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.

Keywords

C-quasi-semigroup, spectrum, residual, essential, ascent.