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On the Essential Norm Formulas for Some Operators.

Authors :
Garayev, Mubariz T.
Source :
Complex Analysis & Operator Theory; Mar2023, Vol. 17 Issue 2, p1-36, 36p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16618254
Volume :
17
Issue :
2
Database :
Complementary Index
Journal :
Complex Analysis & Operator Theory
Publication Type :
Academic Journal
Accession number :
161197885
Full Text :
https://doi.org/10.1007/s11785-022-01324-6