Geodesic
On the pseudo semi-Browder essential spectra and application to 2 × 2 block operator matrices
Filomat, Tome 37 (2023) no. 19, p. 6373

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DOI

In the present paper, we introduce and study the pseudo semi-Browder essential spectra of bounded linear operators in a Banach space. We start by defining the pseudo semi-Browder operators and we prove the stability of these operators under commuting Riesz operator perturbations. Then, we apply the obtained results to study the stability of the pseudo semi-Browder essential spectra. We show as well the relation between the pseudo semi-Browder spectrum of the sum of two bounded linear operators and the pseudo semi-Browder spectrum of each of these operators. As an application, we study the pseudo semi-Browder spectra of 2 × 2 block operator matrices.
DOI : 10.2298/FIL2319373A
Classification : 47A53, 47A55, 47A13
Keywords: Pseudo spectrum, Pseudo semi-Browder essential spectrum, Compact operator, Riesz operator 
Faiçal Abdmouleh; Bilel Elgabeur. On the pseudo semi-Browder essential spectra and application to 2 × 2 block operator matrices. Filomat, Tome 37 (2023) no. 19, p. 6373 . doi: 10.2298/FIL2319373A
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     title = {On the pseudo {semi-Browder} essential spectra and application to 2 {\texttimes} 2 block operator matrices},
     journal = {Filomat},
     pages = {6373 },
     year = {2023},
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     doi = {10.2298/FIL2319373A},
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