Open AccessPerturbation theory, M-essential spectra of operator matrices
Author(s) -
Boulbeba Abdelmoumen,
Sonia Yengui
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2004187a
Subject(s) - mathematics , operator matrix , banach space , finite rank operator , operator (biology) , pure mathematics , block (permutation group theory) , perturbation (astronomy) , spectral line , compact operator , discrete mathematics , combinatorics , quantum mechanics , chemistry , computer science , physics , biochemistry , repressor , transcription factor , extension (predicate logic) , gene , programming language
In this paper, we will establish some results on perturbation theory of block operator matrices acting on Xn, where X is a Banach space. These results are exploited to investigate the M-essential spectra of a general class of operators defined by a 3x3 block operator matrix acting on a product of Banach spaces X3.