Perturbation theory, M-essential spectra of operator matrices | Zendy

Boulbeba Abdelmoumen | Zendy; Sonia Yengui | Zendy

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Perturbation 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.

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