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Norm of Hilbert Operator’s Commutants
Version 1
: Received: 17 March 2023 / Approved: 20 March 2023 / Online: 20 March 2023 (04:20:44 CET)
A peer-reviewed article of this Preprint also exists.
Roopaei, H. Norm of Hilbert Operator’s Commutants. Axioms 2023, 12, 422. Roopaei, H. Norm of Hilbert Operator’s Commutants. Axioms 2023, 12, 422.
Abstract
In this study, we prove the norm separating property for the composition of Cesàro 1
and Gamma matrices with their transpose. As a result, we compute the ℓp-norms of six classes of operators that commute with the infinite Hilbert operators. Additionally, we find the norm of 3
Hilbert’s commutants on some well-known sequence spaces.
Keywords
Commutators; Hilbert matrix; Cesàro matrix; Norm
Subject
Computer Science and Mathematics, Software
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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