Semi-Fredholm and semi-Browder spectrums for the $α$-times integrated semigroups

Abstract

In this paper, we describe the different spectrums of the α-times integrated semigroups by the spectrums of their generators. Specially, essential ascent and descent, upper and lower semi-Fredholm and semi-Browder spectrums.2010 Mathematics Subject Classification. 47D62, 47A10. Key words and phrases. α-times integrated semigroup, essential descent and ascent, upper and lower semi-Browder and semi-Fredholm.