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 bounded linear operator T acting on a Banach space possesses property (gaw) if σ (T)<
Ea (T)= σBW (T), where σBW (T) is the B-Weyl spectrum of T, σ (T) is the usual spectrum of T …

255 VARIATIONS ON BROWDER’S THEOREM 1. Introduction and terminology This paper is
a continuation of previous papers of the fir Page 1 Acta Math. Univ. Comenianae Vol. LXXXI, 2 …

The paper introduces the notion of properties (Z_ Π _ a)(Z Π a) and (Z_ E_ a)(ZE a) as
variants of Weyl's theorem and Browder's theorem for bounded linear operators acting on …

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 …

Let T be a bounded linear Banach space operator and let Q be a quasinilpotent one
commuting with T. The main purpose of the paper is to show that we do not have σ*(T+ Q) …

We introduce and we study the new spectral properties (SBw),(SBaw),(SBab) and (SBb).
Among other results, we show that if T is a bounded linear operator acting on a Banach …

关于算子谱性质幂有限秩摄动的一个注记 Page 1 第48卷第4期 2020年8月 福州大学学报(自然
科学版) Journal of Fuzhou University(Natural Science Edition) Vol. 48 No. 4 Aug. 2020 DOI:10.7631 …

Abstract yur m in o je tive in this thesis is to present the most v rious definitions of the essenti
l spe trum founded in the m them ti l liter tureD whi h eginning with the fund ment l work of …

In this paper we introduce the notion of property (BR) and property (BgR) for bounded linear
operators defined on an infinite-dimensional Banach space. These properties in connection …