The Local Spectral Theory for Linear Relations Involving SVEP
- Autores: Aymen Ammar, Ameni Bouchekoua, Aref Jeribi
- Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
- Idioma: inglés
- DOI: 10.1007/s00009-021-01707-7
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Resumen
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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