ARTICLE | doi:10.20944/preprints202303.0342.v1
Subject: Computer Science And Mathematics, Software Keywords: Commutators; Hilbert matrix; Cesàro matrix; Norm
Online: 20 March 2023 (04:20:44 CET)
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.