Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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