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B-Weyl and Drazin invertible operators linked by weak pseudo \(S_0\)-demicompactness

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Abstract

In this paper, we investigate the relationship between the B-Weyl and Drazin spectra by means of the class of relatively demicompact linear operators acting on Banach spaces. Furthermore, we introduce the concept of \(\varepsilon \)-pseudo B-Fredholm and essential \(\varepsilon \)-pseudospectrum and we explore their relationship with the class of Drazin invertible and B-Weyl operators as well as the notion of essential pseudospectra with some stability results. Several theorems in this paper generalize many results developed in Jeribi (Spectral theory and applications of linear pperators and block operator matrices, Springer, New York, 2015).

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Road of Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia

    Bilel Krichen & Bilel Trabelsi

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  1. Bilel Krichen
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  2. Bilel Trabelsi
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Correspondence to Bilel Krichen.

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Krichen, B., Trabelsi, B. B-Weyl and Drazin invertible operators linked by weak pseudo \(S_0\)-demicompactness. Ricerche mat 73, 593–610 (2024). https://doi.org/10.1007/s11587-021-00626-9

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  • DOI: https://doi.org/10.1007/s11587-021-00626-9

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