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Local spectral theory for Drazin invertible operators

Salvatore TrioloPietro Aiena

subject

Property (philosophy)Spectral theoryApplied MathematicsMathematics::Rings and Algebras010102 general mathematicsSpectral propertiesDrazin inverse01 natural sciencesBounded operatorlaw.invention010101 applied mathematicsAlgebraInvertible matrixTransmission (telecommunications)lawSettore MAT/05 - Analisi MatematicaDrazin invertible operators local spectral subspaces SVEP Dunford’s property (C) and Bishop’s property (β).0101 mathematicsAnalysisMathematics

description

Abstract In this paper we investigate the transmission of some local spectral properties from a bounded linear operator R, as SVEP, Dunford property (C), and property (β), to its Drazin inverse S, when this does exist.

10.1016/j.jmaa.2015.10.042http://hdl.handle.net/10447/148599