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SPECTRAL PROPERTIES OF THE SUM OF TWO OPERATORS MATRICES VIA RELATIVELY FREDHOLMNESS PERTURBATIONS

Sana Bouzidi
대한수학회 (The Korean Mathematical Society)|2024.10|대한수학회논문집 (Communications of the KMS)|제39권 제4호|pp. 897-915|DOI 10.4134/CKMS.c240018

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키워드

essential spectraMatrix operatorclosable operatorrelatively Fredholm perturbations
주제분류수학

초록

In this paper, we deal with the theory of the relatively Fredholm perturbations which allows us to provide a new criteria to characterize some essential spectra of the sum of two $2\times 2$ blocks of operators matrices. Particularly, our developed results provide an amelioration of the work done by M. Marletta and C. Tretter [M. Marletta and C. Tretter, Essential spectra of coupled systems of differential equations and applications in hydrodynamics, J. Diff. Equ. 243 (2007), 36--69].

Abstract

In this paper, we deal with the theory of the relatively Fredholm perturbations which allows us to provide a new criteria to characterize some essential spectra of the sum of two $2\times 2$ blocks of operators matrices. Particularly, our developed results provide an amelioration of the work done by M. Marletta and C. Tretter [M. Marletta and C. Tretter, Essential spectra of coupled systems of differential equations and applications in hydrodynamics, J. Diff. Equ. 243 (2007), 36--69].

참고문헌 (25)

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