Property (R) under compact perturbations (Q2310460)

In [Mediterr. J. Math. 8, No. 4, 491--508 (2011; Zbl 1250.47003)], \textit{P. Aiena} et al. introduced and studied a variant of Weyl's theorem, called property \((R)\). The main result of the paper under review states that, if \(T\) is a bounded linear operator \(T\) on a complex Hilbert space \(H\), then \(T+K\) has property \((R)\) for all compact operators \(K\) on \(H\) if and only if \(T\) is a quasitriangular operator and its Weyl spectrum has no isolated point.