Spectral inclusion for C₀-Semigroups Drazin invertible and Quasi-Fredholm operators

2016/06/23 by Abdelaziz Tajmouati, Tajmouati, A., Mohamed Amouch +3
Computer Science · Mathematics · #FOS: Mathematics #Matrix Theory and Algorithms #Nonlinear Differential Equations Analysis #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1606.07159

openalex publication_date 2016/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (T(t))_t≥0 be a C₀ semigroups and A be its infinitesimal generator. In this work, we prove that the spectral inclusion for (T(t))_t≥0 remains true for the Drazin invertible and Quasi-Fredholm spectra. Also, we will give conditions under which facts A is quasi-Fredholm, A is Drazin invertible and A is B-Fredholm are equivalent.

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