Search results for "Drazin invertible operator"

showing 4 items of 4 documents

On Drazin invertibility

2008

The left Drazin spectrum and the Drazin spectrum coincide with the upper semi-B-Browder spectrum and the B-Browder spectrum, respectively. We also prove that some spectra coincide whenever T or T* satisfies the single-valued extension property.

Mathematics::Functional AnalysisPure mathematicsProperty (philosophy)Applied MathematicsGeneral MathematicsMathematics::Rings and AlgebrasSpectrum (functional analysis)Extension (predicate logic)Mathematics::Geometric TopologyMathematics::Algebraic TopologySpectral lineAlgebraDrazin invertible operatorsMathematicsProceedings of the American Mathematical Society
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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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Local Spectral Theory for R and S Satisfying RnSRn = Rj

2020

In this paper, we analyze local spectral properties of operators R,S and RS which satisfy the operator equations RnSRn=Rj and SnRSn=Sj for same integers j&ge

Pure mathematicsAlgebra and Number TheorySpectral theoryDunford’s property (C) and property (β)Local spectral subspacesLogiclcsh:Mathematics010102 general mathematicsSpectral propertieslcsh:QA1-93901 natural sciences010101 applied mathematicsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESOperator (computer programming)Transmission (telecommunications)Settore MAT/05 - Analisi MatematicaDunford’s property (<i>C</i>) and property (<i>β</i>)Data_FILESDrazin invertible operatorsGeometry and Topology0101 mathematicsMathematical PhysicsAnalysisMathematicsAxioms
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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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