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Property (R) Under Compact Perturbations

Mediterranean Journal of Mathematics, 2020
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 ...
Boting Jia, Youling Feng
openaire   +1 more source

Property (R) under Perturbations

Mediterranean Journal of Mathematics, 2012
In this paper, the authors show the permanence of property (R), satisfied by an operator \(T\) acting in an infinite dimensional complex Banach space, under quasi-nilpotent, Riesz, or algebraic perturbations commuting with \(T\). Such an operator \(T\) is said to satisfy property (R) when the isolated points of its spectrum which are eigenvalues of ...
AIENA, Pietro   +3 more
openaire   +2 more sources

Property (R) for Bounded Linear Operators

Mediterranean Journal of Mathematics, 2011
The authors continue their study of Weyl type theorems and related properties for bounded linear operators on complex Banach spaces. In the paper under review, they introduce and study a new related property, called \((R)\). They characterize this property in several ways and describe its relationships with variants of the classical Weyl's theorem ...
AIENA, Pietro, Guillen, J, Pena, P.
openaire   +3 more sources

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