Resumen de The Local Spectral Theory for Linear Relations Involving SVEP

Aymen Ammar, Ameni Bouchekoua, Aref Jeribi

• 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).