Generalized weak demicompactness involving measure of non-strict-singularity

Imen Ferjani (), Aref Jeribi () and Bilel Krichen ()
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Imen Ferjani: University of Sfax
Aref Jeribi: University of Sfax
Bilel Krichen: University of Sfax

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 2, 529-541

Abstract: Abstract This paper is devoted to a characterization of the notion of generalized weakly demicompact linear operators acting on a Banach space introduced in [8]. Our results are formulated in terms of measures of non-strict-singularity and strictly singular operators. Theses results are used to discuss the incidence of some perturbation results on the behavior of the closure of unbounded $$2\times 2$$ 2 × 2 block operator matrices.

Keywords: Generalized weakly demicompact operator; Fredholm and semi-Fredholm operators; Matrix operator; Essential spectrum; Strictly singular operator; 47A53; 47A10 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00055-2

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