In this note we study the property (w), a variant of Weyl's theorem introduced by Rakočević,
by means of the localized single-valued extension property (SVEP). We establish for a …

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 …

Let T be a bounded linear operator acting on a Banach space X such that T or its adjoint T∗
has the single-valued extension property. We prove that the spectral mapping theorem holds …

We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or
its adjoint has the single-valued extension property. We establish the spectral mapping …

We characterize the bounded linear operators T satisfying generalized a-Browder's theorem,
or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the …

A bounded operator T ∈ L (X), X a Banach space, is said to verify generalized Browder's
theorem if the set of all spectral points that do not belong to the B-Weyl's spectrum coincides …

In this article Weyl's theorem and a-Weyl's theorem on Banach spaces are related to an
important property which has a leading role in local spectral theory: the single-valued …

Let $ T $ be an operator acting on a Banach space $ X $, let $\sigma (T) $ and $\sigma _
{BW}(T) $ be respectively the spectrum and the B-Weyl spectrum of $ T $. We say that $ T …

In this paper we shall consider the relationships between a local version of the single valued
extension property of a bounded operator T∈ L (X) on a Banach space X and some …

Necessary and sufficient conditions are given for a Banach space operator with the single‐
valued extension property to satisfy Weyl's theorem and a‐Weyl's theorem. It is shown that if …