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In this paper, we provide a characterization of upper semi-Fredholm operators via the relative demicompactness concept. The obtained results are used to investigate the stability of various essential spectra of closed linear operators under perturbations belonging to classes involving demicompact, as well as, relative demicompact operators.
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참고문헌 (18)
참고문헌 신청
W. Y. Akashi / 1984 / On the perturbation theory for Fredholm operators / Osaka J. Math 21(3,):603~612
B. A. Barnes / 1998 / Common operator properties of the linear operators RS and SR / Proc. Amer. Math. Soc 126(4):1055~1061
Wajdi Chaker / 2015 / Demicompact linear operators, essential spectrum and some perturbation results / Mathematische Nachrichten 288(13):1476~1486
N. Dunford / 1958 / Linear Operators. I. General Theory / Interscience Publishers, Inc
D. E. Edmunds / 1987 / Spectral theory and differential operators / The Clarendon Press, Oxford University Press
Wajdi Chaker / 2015 / Demicompact linear operators, essential spectrum and some perturbation results / Mathematische Nachrichten 288(13):1476~1486
N. Dunford / 1958 / Linear Operators. I. General Theory / Interscience Publishers, Inc
D. E. Edmunds / 1987 / Spectral theory and differential operators / The Clarendon Press, Oxford University Press
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