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 this note we introduce and study the property (gw), which extends property (w) introduced
by Rakoc̆evic in [23]. We investigate the property (gw) in connection with Weyl type …

Browder-type Theorems and SVEP Page 1 Mediterranean Journal of Mathematics Browder-type
Theorems and SVEP Mohammed Berkani ∗ , Mustapha Sarih and Hassan Zariouh Abstract …

In this paper we introduce and study the new properties ($ W_ {\Pi} $),($ UW_ {{\Pi} _a} $),($
UW_E $) and ($ UW_ {\Pi} $). The main goal of this paper is to study relationship between …

In this paper we define and study operators of Saphar type in a Banach space, their
subclasses, essentially left (right) Drazin invertible operators and left (right) Weyl–Drazin …

Burgos, Kaidi, Mbekhta and Oudghiri provided an affirmative answer to a question of
Kaashoek and Lay and proved that an operator $ F $ is power finite rank if and only if …

A localized version of the single-valued extension property is studied, for a bounded linear
operator T acting on a Banach space and its adjoint T⁎, at the points λ0∈ C such that λ0I− T …

In this paper we introduce the new spectral properties (WE) and (UWEa). An operator T
satisfies property (WE)(resp.(UWEa), if its spectrum (resp. its approximate spectrum) is the …

In this paper we introduce and study the properties (t) and (gt), which extend properties (w)
and (gw). We establish for a bounded linear operator defined on a Banach space several …

Let $ X $ a Banach space and $ T $ a bounded linear operator on $ X. $ We denote by $ S
(T) $ the set of all $\lambda\in\cit $ such that $ T $ does not have the single-valued extension …