The main focus of this book is on bounded linear operators on complex infinitedimensional
Banach spaces and their spectral properties. In recent years spectral theory, which has …

In [4] we introduced and studied property (gw), which is an extension to the context of B-
Fredholm theory, of the property (w) introduced by Rako cevic in [28]. In this paper we …

In [12] we introduced and studied properties (gab) and (gaw), which are extensions to the
context of B-Fredholm theory, of properties (ab) and (aw) respectively, introduced also in …

In this paper, we study the properties (bz) and (w π 00 a), which we had introduced in [Ben
Ouidren K, Zariouh H. New approach to a-Weyl's theorem and some preservation results …

In this paper we study the stability of generalized a-Weyl's theorem under perturbations by
finite rank and nilpotent operators. Among other results, we prove that if T is a bounded …

In [9], we introduced the properties (b) and (gb), which are analogous of Browder and
generalised Browder theorems. In this paper we study the stability of properties (b) and (gb) …

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 …

The property $(\rm {gw}) $ is a variant of generalized Weyl's theorem, for a bounded
operator $ T $ acting on a Banach space. In this note we consider the preservation of …

A Banach space operator is said to be obeys property (m) if the isolated points of the
spectrum σ (T) of T which are eigenvalues of finite multiplicity are exactly those points λ of …

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 …