Generalized weak demicompactness involving measure of non-strict-singularity

Generalized weak demicompactness involving measure of non-strict-singularity

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 i...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2021-06, Vol.52 (2), p.529-541
Hauptverfasser: Ferjani, Imen, Jeribi, Aref, Krichen, Bilel
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Banach spaces
Linear operators
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Perturbation
Singularities
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Zusammenfassung: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 × 2 block operator matrices.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00055-2