Search results for "Weyl-type theorems"

showing 2 items of 2 documents

Some Remarks on the Spectral Properties of Toeplitz Operators

2019

In this paper, we study some local spectral properties of Toeplitz operators $$T_\phi $$ defined on Hardy spaces, as the localized single-valued extension property and the property of being hereditarily polaroid.

Mathematics::Functional AnalysisPure mathematicsProperty (philosophy)Weyl-type theoremslocalized single-valued extension propertyGeneral MathematicsSpectral propertiesExtension (predicate logic)Hardy spaceToeplitz matrixsymbols.namesakeToeplitz operatorSettore MAT/05 - Analisi MatematicasymbolsMathematicsMediterranean Journal of Mathematics
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Local Spectral Properties Under Conjugations

2021

AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$ T ∈ L ( H ) . We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$ T ∗ and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$ J T ∗ J . The theory is exemplified in some concrete cases.

Pure mathematicsGeneral MathematicsConjugations010102 general mathematicsSpectral propertiesLocal spectral propertiesHilbert space010103 numerical & computational mathematicsType (model theory)01 natural sciencesWeyl-type theorems for upper triangular operator matricessymbols.namesakeOperator matrixSettore MAT/05 - Analisi MatematicaCore (graph theory)symbols0101 mathematicsMathematics
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