A note on matrix domains of Copson matrix of order α and compact operators

DOI10.1142/S1793557122501406zbMath1504.26061OpenAlexW3205476932MaRDI QIDQ5876760

Mohammad Ayman Mursaleen

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122501406

zbMATH Keywords

sequence spacesHausdorff measure of noncompactnessmatrix transformationsCesàro matrixCopson matrix

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem ⋮ Solvability of an infinite system of Langevin fractional differential equations in a new tempered sequence space ⋮ Solvability of an infinite system of fractional differential equations with \(p\)-Laplacian operator in a new tempered sequence space ⋮ Banach spaces and inequalities associated with new generalization of Cesàro matrix

Cites Work

• Unnamed Item
• Unnamed Item
• On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators
• Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means
• On compact operators on the Riesz \(B^m\)-difference sequence space
• On compact operators and some Euler \(B^{(m)}\)-difference sequence spaces
• Compactness of matrix operators on some new difference sequence spaces
• On some difference sequence spaces of weighted means and compact operators
• Compactness by the Hausdorff measure of noncompactness
• The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• A study on Copson operator and its associated sequence space
• On compact operators on the Riesz \(B^m\)-difference sequence spaces. II
• On matrix domains of triangles
• On the \(m^{th}\) order difference sequence space of generalized weighted mean and compact operators
• A note on compact operators on matrix domains
• On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
• On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II
• The Hausdorff measure of noncompactness of matrix operators on some BK spaces
• Summability Theory And Its Applications
• Advanced Functional Analysis
• Applications of Hausdorff measure of noncompactness in the spaces of generalized means
• On the spaces of Cesàro absolutely p‐summable, null, and convergent sequences
• Sequence Spaces
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

This page was built for publication: A note on matrix domains of Copson matrix of order α and compact operators