Search results for "Drazin inverse"

showing 3 items of 3 documents

Local spectral theory for Drazin invertible operators

2016

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.

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
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Special elements in a ring related to Drazin inverses

2013

In this paper, the existence of the Drazin (group) inverse of an element a in a ring is analyzed when amk = kan, for some unit k and m; n 2 N. The same problem is studied for the case when a* = kamk-1 and for the fk; s+1g-potent elements. In addition, relationships with other special elements of the ring are also obtained

Pure mathematicsDrazin inverse16E50Inverse010103 numerical & computational mathematicsInvolutory element01 natural sciencesSecondary: 16A300101 mathematicsMathematicsRingRing (mathematics)Science & TechnologyAlgebra and Number TheoryGroup (mathematics)Primary: 15A09010102 general mathematicsAnells (Algebra)15A09 [Primary]PowerDrazin inverseÀlgebra linealElement (category theory)16A30 [Secondary]Unit (ring theory)Linear and Multilinear Algebra
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Fredholm Spectra and Weyl Type Theorems for Drazin Invertible Operators

2016

In this paper we investigate the relationship between some spectra originating from Fredholm theory of a Drazin invertible operator and its Drazin inverse, if this does exist. Moreover, we study the transmission of Weyl type theorems from a Drazin invertible operator R, to its Drazin inverse S.

Pure mathematicsFredholm theoryDrazin invertible operatorGeneral MathematicsMathematics::Rings and Algebras010102 general mathematicsDrazin inverse010103 numerical & computational mathematicsType (model theory)01 natural sciencesFredholm theorylaw.inventionAlgebrasymbols.namesakeOperator (computer programming)Invertible matrixlawSettore MAT/05 - Analisi MatematicasymbolsBrowder and Weyl type theoremMathematics (all)0101 mathematicsMathematics
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