Semi-Fredholm and semi-Browder spectra for the \(\alpha\)-times integrated semigroups (Q2189034)

As stated in the introduction of the paper, this is a work on the spectral theory of \(\alpha\)-times integrated semigroups for \(\alpha \ge 0\), following recent work on the different spectra of the \(1\)-time integrated semigroups [\textit{A. Tajmouati} and \textit{H. Boua}, ``Spectral theory for integrated semigroups'', Int. J. Pure Appl. Math. 109, No. 4, 847--860 (2016; \url{doi:10.12732/ijpam.v109i4.8})]. Results on the relationships between the different spectra of an \(\alpha\)-times integrated semigroup and that of its generator are given.