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Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space

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Abstract

In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In particular, we establish sufficient conditions for the relations between the essential spectra of the sum of two bounded linear operators and the union of their essential spectra. Moreover, we give essential prerequisites by studying the duality between p-adic upper and p-adic lower semi-Fredholm operators. We close this paper by giving some properties of the essential spectra.

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Authors and Affiliations

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

    Aymen Ammar, Fatima Zohra Boutaf & Aref Jeribi

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  1. Aymen Ammar
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  2. Fatima Zohra Boutaf
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  3. Aref Jeribi
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Ammar, A., Boutaf, F.Z. & Jeribi, A. Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space. Bol. Soc. Mat. Mex. 29, 18 (2023). https://doi.org/10.1007/s40590-022-00485-w

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