6533b829fe1ef96bd128acda
RESEARCH PRODUCT
Local Spectral Properties Under Conjugations
Fabio BurderiPietro AienaSalvatore Triolosubject
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 mathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-03-19 |