Duggal, B. P. Hereditarily normaloid operators. (English) Zbl 1097.47005 Extr. Math. 20, No. 2, 203-217 (2005). Among the established permanence properties of completely hereditarily normaloid operators, the author shows that if \(T\) is an operator in this class, then both \(T\) and \(T^*\) have the single-valued extension property at all points which are not in the Weyl spectrum of \(T\). He then exploits this property to study a-Weyl’s theorem and a-Browder’s theorem for operators in this class. Reviewer: Abdellatif Bourhim (QuĂ©bec) Cited in 23 Documents MSC: 47A10 Spectrum, resolvent 47A11 Local spectral properties of linear operators Keywords:Weyl’s theorem; a-Weyl’s theorem; a-Browder’s theorem; single-valued extension property (SVEP); hereditarily normaloid operators PDFBibTeX XMLCite \textit{B. P. Duggal}, Extr. Math. 20, No. 2, 203--217 (2005; Zbl 1097.47005) Full Text: EuDML