Factorization of the Hilbert matrix based on Cesàro and gamma matrices

DOI10.1007/s00025-019-1129-1zbMath1441.47041OpenAlexW2991587107MaRDI QIDQ2302196

Hadi Roopaei

Publication date: 25 February 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1129-1

zbMATH Keywords

normsequence spacefactorizationHilbert matrixCesàro matrixGamma matrix

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Inequalities for sums, series and integrals (26D15)

Related Items (17)

A weighted mean Hausdorff type operator and its summability matrix domain ⋮ L-matrices with lacunary coefficients ⋮ Quasi-Cesàro matrix and associated sequence spaces ⋮ Factorization of Hilbert operators ⋮ Composition of the Cesàro operator and its transpose ⋮ Bounds of operators on the Hilbert sequence space ⋮ Fractional Cesàro matrix and its associated sequence space ⋮ The Cesàro-gamma operator and its associated sequence space ⋮ Sequence spaces associated with fractional Copson matrix and compact operators ⋮ On generalized \((p,q)\)-Euler matrix and associated sequence spaces ⋮ Norm of Hilbert operator on sequence spaces ⋮ A study on Copson operator and its associated sequence space ⋮ A study on Copson operator and its associated sequence space. II ⋮ Factorization of Cesàro operator and related inequalities ⋮ Compact operators on sequence spaces associated with the Copson matrix of order \(\alpha \) ⋮ Cesàro spaces and norm of operators on these matrix domains ⋮ Negative Difference Operator and Its Associated Sequence Space

Cites Work

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• Lower bounds for matrices
• The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
• Tricks or Treats with the Hilbert Matrix
• Factorizing the classical inequalities
• Factorization of Cesàro and Hilbert matrices based on generalized Cesàro matrix

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