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The condition pseudospectrum subset and related results

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Abstract

We intend, through this paper, to extend the concept of condition pseudospectr um to the case of bounded linear operators on Banach spaces and prove several relations to the usual spectrum. Also, we gives some results related to the essential condition pseudospectra of linear operators. We will begin by defining it and then we focus on the characterization, the stability and some properties of these spectra.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia

    Aymen Ammar, Aref Jeribi & Kamel Mahfoudhi

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  1. Aymen Ammar
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  2. Aref Jeribi
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  3. Kamel Mahfoudhi
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Correspondence to Aref Jeribi.

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Ammar, A., Jeribi, A. & Mahfoudhi, K. The condition pseudospectrum subset and related results. J. Pseudo-Differ. Oper. Appl. 11, 491–504 (2020). https://doi.org/10.1007/s11868-018-0265-9

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  • DOI: https://doi.org/10.1007/s11868-018-0265-9

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