Search results for "Spectral subspace"

showing 4 items of 4 documents

Property (gab) through localized SVEP

2015

In this article we study the property (gab) for a bounded linear operator T 2 L(X) on a Banach space X which is a stronger variant of Browder's theorem. We shall give several characterizations of property (gab). These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gab) holds for large classes of operators and prove the stability of property (gab) under some commuting perturbations. 2010 Mathematics Subject Classication. Primary 47A10, 47A11; Secondary 47A53, 47A55.

Discrete mathematicsNumerical AnalysisPure mathematicsControl and OptimizationSpectral theoryProperty (philosophy)Property (gab) local spectral subspaces Browder type theorems.Applied Mathematics010102 general mathematicsBanach space010103 numerical & computational mathematics01 natural sciencesStability (probability)Bounded operatorSettore MAT/05 - Analisi Matematica0101 mathematicsAnalysisMathematics
researchProduct

The Tan 2Θ Theorem in fluid dynamics

2017

We show that the generalized Reynolds number (in fluid dynamics) introduced by Ladyzhenskaya is closely related to the rotation of the positive spectral subspace of the Stokes block-operator in the underlying Hilbert space. We also explicitly evaluate the bottom of the negative spectrum of the Stokes operator and prove a sharp inequality relating the distance from the bottom of its spectrum to the origin and the length of the first positive gap.

Spectral subspacePhysics35Q35 47A67 (Primary) 35Q30 47A12 (Secondary)Spectrum (functional analysis)Mathematical analysisHilbert spaceReynolds numberStatistical and Nonlinear PhysicsMathematics - Spectral TheoryMathematics - Functional AnalysisPhysics::Fluid Dynamicssymbols.namesakeFluid dynamicssymbolsGeometry and TopologyStokes operatorNavier–Stokes equation ; Stokes operator ; Reynolds number ; rotation of subspaces ; quadratic forms ; quadratic numerical rangeRotation (mathematics)Mathematical Physics
researchProduct

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
researchProduct

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
researchProduct