Search results for " spectral radius"

showing 3 items of 3 documents

A coincidence-point problem of Perov type on rectangular cone metric spaces

2017

We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we establish some existence and uniqueness results for two self-mappings. Under a compatibility assumption, we also solve a common fixed-point problem.

Algebra and Number Theory010102 general mathematicsMathematical analysisGeometryType (model theory)01 natural sciencesRectangular cone metric space spectral radius solid cone g-contraction of Perov type -admissible mapping -g-contraction of Perov type010101 applied mathematicsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometria0101 mathematicsCoincidence pointAnalysisMathematicsThe Journal of Nonlinear Sciences and Applications
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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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Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions

2008

AbstractWe determine the spectra of composition operators acting on weighted Banach spaces Hv∞ of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. We also investigate in this case the growth rate of the Koenigs eigenfunction and its relation with the essential spectral radius of the composition operator.

Unbounded operatorSpectral theoryComposition operatorApproximation propertySpectral radiusEssential spectral radiusApplied MathematicsMathematical analysisSpectrum (functional analysis)Composition operatorsFinite-rank operatorOperator theoryKoenigs eigenfunctionSpectrumAstrophysics::Earth and Planetary AstrophysicsAnalysisWeighted Bergman spaces of infinite orderMathematicsJournal of Mathematical Analysis and Applications
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