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 …

Abstract Let X, Y be Banach spaces, A: X⟶ Y and B, C: Y⟶ X be bounded linear operators
satisfying operator equation ABA= AC A. In this paper, we show that the products AC and BA …

In this paper, we study Browder-type and Weyl-type theorems for operators T+ K T+ K
defined on a Banach space X, where K is (a non necessarily commuting) compact operator …

For a bounded linear operator, by local spectral theory methods, we study the property (bz),
which means that the difference of the approximate point spectrum with the upper semi …

Abstract $ m $-symmetric operator plays a crucial role in the development of operator theory
and has been widely studied due to unexpected intimate connections with differential …

On (n, k)-quasiparanormal operators Page 1 STUDIA MATHEMATICA 209 (3) (2012) On (n,
k)-quasiparanormal operators by Jiangtao Yuan (Xian and Jiaozuo) and Guoxing Ji (Xian) …

Property (R) for Bounded Linear Operators Page 1 Mediterr. J. Math. 8 (2011), 491–508 DOI
10.1007/s00009-011-0113-0 1660-5446/11/040491-18, published online February 19, 2011 …

Property (R) holds for a bounded linear operator T ∈ L (X), defined on a complex infinite
dimensional Banach space X, if the isolated points of the spectrum of T which are …

In this article, we consider Drazin invertible operators for study of the relationship between
their B-Fredholm spectra and the transfer between some of the spectral properties defined …

In this paper we investigate the relationship between some spectra originating from
Fredholm theory of a Drazin invertible operator and its Drazin inverse, if this does exist …