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 On relative essential spectra of block operator matrices and application Bull. Korean Math. Soc. 2016 Vol. 53, No. 3, 681-698 https://doi.org/10.4134/BKMS.b150233Published online May 31, 2016 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 Full-Text :