Search results for "vep"

showing 10 items of 39 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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On the stability of the localized single-valued extension property under commuting perturbations

2013

This article concerns the permanence of the single-valued extension property at a point under suitable perturbations. While this property is, in general, not preserved under sums and products of commuting operators, we obtain positive results in the case of commuting perturbations that are quasi-nilpotent, algebraic, or Riesz operators.

SVEP quesi-nilpotent operatorsProperty (philosophy)Settore MAT/05 - Analisi MatematicaApplied MathematicsGeneral MathematicsMathematical analysisExtension (predicate logic)Operator theoryStability (probability)MathematicsProceedings of the American Mathematical Society
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Property (gR) and perturbations

2012

Property (gR) holds for a bounded linear operator T defined on a complex Banach space X, the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such cI -T is upper semi B-Browder. In this paper we consider the permanence of this property under nilpotent, perturbations commuting with T.

Settore MAT/05 - Analisi MatematicaProperty (gR) SVEPApplied MathematicsAnalysisActa Scientiarum Mathematicarum
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ACUITA’ VISIVA, PERFORMANCE DI LETTURA, QUALITA’ DELLA VITA E SENSIBILITA’ AL CONTRASTO SOGGETTIVA ED ELETTROFUNZIONALE IN PAZIENTI AFFETTI DA CATARA…

Settore MED/30 - Malattie Apparato VisivoMultifocal IOLs VEPs presbyopia contrast sensitivity
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SINDROME DI APERT, SVILUPPO NEUROPSICOMOTORIO E FUNZIONE VISIVA: FATTORI DI RISCHIO PROGNOSTICO IN TRE PAZIENTI

2009

Premessa: La sindrome di Apert, è causata da mutazione (Pro253Arg e Ser253Trp) a livello dell’esone 8 del gene FGFR2 (10q26). Tra i fattori di rischio in termini di prognosi evolutiva si annoverano il tipo di mutazione (1), la presenza di anomalie dello sviluppo cerebrale, la prematurità, la sofferenza cerebrale perinatale, lo stato di ossigenazione, la strategia e i tempi di intervento neurochirurgico e correttivo. Obiettivi: Valutare in soggetti con S. di Apert la correlazione tra fattori di rischio e lo sviluppo neuropsicomotorio e neurosensoriale visivo. Metodologia:Tre soggetti con diversa combinazione dei fattori di rischio, sono stati valutati con potenziali evocati visivi da flash (…

Settore MED/38 - Pediatria Generale E Specialisticaapert craniostenosi VEP
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Optical retarder system with programmable spectral retardance.

2014

An optical system that works as a retarder waveplate with programmable spectral retardance is proposed. The system is based on a pixelated liquid crystal on silicon (LCoS) spatial light modulator (SLM). The input light beam is spectrally dispersed and different spectral components are projected onto different pixels of the LCoS-SLM. A different retardance is then addressed for each pixel, adapted to the incoming wavelength. Light reflected from the SLM is then recombined by the same setup. In this way a programmable polarization spectrum can be encoded. We illustrate the broadband characterization that is required for proper use of the system. Then several examples are shown, including spec…

SiliconSpatial light modulatorMaterials sciencebusiness.industrySpectrum AnalysisPhysics::OpticsOptical DevicesPhysics::Classical PhysicsRetarderWaveplateAtomic and Molecular Physics and Opticslaw.inventionLiquid CrystalsLiquid crystal on siliconWavelengthLight intensityOpticslawLight beambusinessBeam splitterOptics letters
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SVEP and local spectral radius formula for unbounded operators

2014

In this paper we study the localized single valued extension property for an unbounded operator T. Moreover, we provide sufficient conditions for which the formula of the local spectral radius holds for these operators.

Spectral radiusSettore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisLocalized SVEP local spectral radius formulaMathematics
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On the effect of quarter-wave-plate errors in stress-holo-interferometry

1975

Stress (mechanics)PhysicsInterferometryMechanics of MaterialsMechanical EngineeringSolid mechanicsFluid dynamicsAerospace EngineeringMechanicsWaveplateExperimental Mechanics
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Weyl Type Theorems for Left and Right Polaroid Operators

2010

A bounded operator defined on a Banach space is said to be polaroid if every isolated point of the spectrum is a pole of the resolvent. In this paper we consider the two related notions of left and right polaroid, and explore them together with the condition of being a-polaroid. Moreover, the equivalences of Weyl type theorems and generalized Weyl type theorems are investigated for left and a-polaroid operators. As a consequence, we obtain a general framework which allows us to derive in a unified way many recent results, concerning Weyl type theorems (generalized or not) for important classes of operators.

Teoremi di Weyl operatori polaroidi SVEPLeft and rightPure mathematicsAlgebra and Number TheorySpectrum (functional analysis)Banach spaceType (model theory)Bounded operatorAlgebraIsolated pointSettore MAT/05 - Analisi MatematicaAnalysisResolventMathematicsIntegral Equations and Operator Theory
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Generalized Browder’s Theorem and SVEP

2007

A bounded operator \(T \in L(X), X\) a Banach space, is said to verify generalized Browder’s theorem if the set of all spectral points that do not belong to the B-Weyl’s spectrum coincides with the set of all poles of the resolvent of T, while T is said to verify generalized Weyl’s theorem if the set of all spectral points that do not belong to the B-Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues. In this article we characterize the bounded linear operators T satisfying generalized Browder’s theorem, or generalized Weyl’s theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H0(λI − T) as λ belongs to certain …

Unbounded operatorDiscrete mathematicsPure mathematicsGeneral MathematicsSpectrum (functional analysis)Banach spaceBounded operatorSettore MAT/05 - Analisi MatematicaBounded functionSVEP Fredholm theory generalized Weyl’s theorem and generalized Browder’s theoremMathematics::Representation TheoryBounded inverse theoremEigenvalues and eigenvectorsResolventMathematicsMediterranean Journal of Mathematics
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