Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2016; 53(3): 681-698

Printed May 31, 2016

https://doi.org/10.4134/BKMS.b150233

Copyright © The Korean Mathematical Society.

On relative essential spectra of block operator matrices and application

Salma Charfi and Ines Walha

Department of Mathematics, Department of Mathematics

Abstract

In this paper, we investigaterelative essential spectra of $2\times2$ block operator matrix using the Fredholm perturbation theory. Furthermore, an example for two-group transport equations is presented to illustrate the validity of the main results.

Keywords: matrix operator, Fredholm perturbations, $M$-essential spectra, transport operator

MSC numbers: 47A10, 47A53, 34K08