Spectra Originated from Fredholm Theory and Browder's Theorem

2017/06/18 by Mohamed Amouch, Amouch, Mohamed, Mohamed Karmouni +3 · 1 citation
Computer Science · Mathematics · #47A53 #47B10 #FOS: Mathematics #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1706.05594

openalex publication_date 2017/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new characterization of Browders theorem through equality between the pseudo B-Weyl spectrum and the generalized Drazin spectrum. Also, we will give conditions under which pseudo B-Fredholm and pseudo B-Weyl spectrum introduced in [11] and [30] become stable under commuting Riesz perturbations.

Cited by

• A new characterization of generalized Browder's theorem and a Cline's formula for generalized Drazin-meromorphic inverses

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