Quasi-compact operator,pseudo-essential spectra and some perturbation results |
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| Institution: | 1. National School of Electronics and Telecommunications of Sfax, B.P. 1163, CP 3018, Tunisia;2. Département de Mathématiques, Université de Sfax, Faculté des sciences de Sfax, Route de soukra Km 3.5, B. P 1171, 3000, Sfax, Tunisie |
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| Abstract: | In this paper, we use the concept of quasi-compact operators, as a generalization of the class of Riesz operators, to improve the definition of the pseudo-Schechter essential spectrum of a closed densely defined operator acting on Banach space. Moreover, we discuss the incidence of some perturbation results on the behavior of pseudo-essential spectra of the sum of two bounded linear operators. |
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| Keywords: | Quasi-compact operator Pseudo-essential spectra Pseudo Fredholm inverse |
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