In this article, we consider Drazin invertible operators for study of the relationship between
their B-Fredholm spectra and the transfer between some of the spectral properties defined …

In this article, a-Browder's classical theorem is considered through the property (B v), and we
show that if two operators are norm equivalent, then property (B v) holds for one if and only if …

ON COMMUTING QUASI-NILPOTENT OPERATORS THAT ARE INJECTIVE Pietro Aiena
Fabio Burderi and Salvatore Triolo Università di Palermo Page 1 ON COMMUTING QUASI-NILPOTENT …

For bounded linear operators defined on complex infinite-dimensional Banach space, H.
Zariouh, in an article introduced and studied the property (gaz). In this study, through …

Abstract In (Aiena et al., Math. Proc. R. Irish Acad. 122A (2): 101–116, 2022), it has been
shown that a bounded linear operator T∈ L (X), defined on an infinite-dimensional complex …

In this article, for a bounded linear operator defined on a complex infinite-dimensional
Banach space, through classical methods of local spectral theory, we study an important …

In this paper, we introduce and study the spectral property $(E_A) $. This property means
that the difference between the approximate point spectrum and the upper semi-Fredholm …

Given a complex Banach space X, we investigate the stable character of the property (VE)
for a bounded linear operator T: X→ X, under commuting perturbations that are Riesz …

In this paper we consider two new variants of the classical Weyl's theorem for operators
defined on Banach spaces. These variants called S-Weyl's theorem and property (t) are …

Abstract Property (UW\scriptstyle Π)(UW Π) for a bounded linear operator T ∈ L (X) T∈ L (X)
on a Banach space X means that the points λ λ of the approximate point spectrum for which …