A signi? cant sector of the development of spectral theory outside the classical area of
Hilbert space may be found amongst at multipliers de? ned on a complex commutative …

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 …

Let X be a complex infinite dimensional Banach space. We use σ_a (T) andσ_ {ea}(T),
respectively, to denote the approximate point spectrum and the essential approximate point …

When A∈ B (H) and B∈ B (K) are given, we denote by MC the operator acting on the infinite
dimensional separable Hilbert space H⊕ K of the form MC=(AC0B). In this paper, it is shown …

Abstract When A∈ B (H) and B∈ B (K) are given, we denote by MC an operator acting on
the Hilbert space H⊕ K of the form M_ C=\left (. In this paper, first we give the necessary and …

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 …

In this note we show that if either T or T* is totally*-paranormal then Weyl's theorem holds for
f (T) for every f ∈ H (σ (T)), and also a-Weyl's theorem holds for f (T) if T is totally …

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 …

This article treatises several problems relevant to a-Weyl's theorem for bounded operators
on Banach spaces. There are presented sufficient conditions for an operator T, such that a …

Let σab (T)={λ∈ C: T-λIisnotanuppersemi-Fredholmoperatorwithfiniteascent} be the Browder
essential approximate point spectrum of T∈ B (H) and let σd (T)={λ∈ C: T-λIisnotsurjective} …