On the Essential Norm Formulas for Some Operators

On the Essential Norm Formulas for Some Operators

We prove equivalence of the classical Adamyan-Arov-Krein theorem (Adamyan, Arov and Krein in Mat Sb 86:34–75, 1971) and Mustafayev’s recent result in (Mustafayev in Integr Equ Oper Theory 92:1–21, 2020) about essential norm of Hankel and function of model operators, respectively. We also prove a qua...

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Veröffentlicht in:Complex analysis and operator theory 2023-03, Vol.17 (2), Article 23
1. Verfasser: Garayev, Mubariz T.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Harmonic Analysis and Operator Theory
Mathematics
Mathematics and Statistics
Operator Theory
Operators (mathematics)
Theorems
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Zusammenfassung:We prove equivalence of the classical Adamyan-Arov-Krein theorem (Adamyan, Arov and Krein in Mat Sb 86:34–75, 1971) and Mustafayev’s recent result in (Mustafayev in Integr Equ Oper Theory 92:1–21, 2020) about essential norm of Hankel and function of model operators, respectively. We also prove a quantitative version of Bessonov’s compactness theorem for truncated Toeplitz operators.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01324-6