Fredholm Operators and Riesz Theory for Polynomially Compact Operators |
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Authors: | Aref Jeribi Nedra Moalla |
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Institution: | (1) Département de Mathématiques, Faculté des Sciences de Sfax, Route de Soukra, Km 3.5, B. P. 802, 3018 Sfax, Tunisie |
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Abstract: | In this article, we give a characterization of a class of bounded Fredholm operators on a Banach space which is developed to present some general existence results of the operators equation of the second kind. The obtained results are used to describe the Riesz–Schauder theory of compact operators in the more general setting of polynomially compact operators. |
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Keywords: | Fredholm operator polynomially compact operator Riesz operator generalized Riesz operator |
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