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The Local Spectral Theory for Linear Relations Involving SVEP

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Abstract

Motivated by Aiena, Trapani and Triolo’s work (Filomat 28(2), 263–273, 2014), we introduced some concepts of the local spectral theory and the single-valued extension property abbreviated SVEP of the closed linear relations on a Banach space. After that, we analyzed basic proprieties of these notions and established a relationship between the analytic spectral subspace and the analytic core (see Theorem 3.5).

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Authors and Affiliations

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

    Aymen Ammar, Ameni Bouchekoua & Aref Jeribi

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  1. Aymen Ammar
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  2. Ameni Bouchekoua
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  3. Aref Jeribi
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Correspondence to Aymen Ammar.

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Ammar, A., Bouchekoua, A. & Jeribi, A. The Local Spectral Theory for Linear Relations Involving SVEP. Mediterr. J. Math. 18, 77 (2021). https://doi.org/10.1007/s00009-021-01707-7

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  • DOI: https://doi.org/10.1007/s00009-021-01707-7

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