6533b85afe1ef96bd12b98b5

RESEARCH PRODUCT

On Drazin invertibility

Maria T. BiondiCarlos CarpinteroPietro Aiena

subject

Mathematics::Functional AnalysisPure mathematicsProperty (philosophy)Applied MathematicsGeneral MathematicsMathematics::Rings and AlgebrasSpectrum (functional analysis)Extension (predicate logic)Mathematics::Geometric TopologyMathematics::Algebraic TopologySpectral lineAlgebraDrazin invertible operatorsMathematics

description

The left Drazin spectrum and the Drazin spectrum coincide with the upper semi-B-Browder spectrum and the B-Browder spectrum, respectively. We also prove that some spectra coincide whenever T or T* satisfies the single-valued extension property.

https://doi.org/10.1090/s0002-9939-08-09138-7