On absolute Euler spaces and related matrix operators

DOI10.1007/s40010-019-00616-5zbMath1483.40004OpenAlexW2949347175WikidataQ127735008 ScholiaQ127735008MaRDI QIDQ1984229

Fadime Gökçe, Mehmet Ali Sarıgöl

Publication date: 13 September 2021

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-019-00616-5

zbMATH Keywords

sequence spacesbounded operatorsabsolute Euler summabilitymatrix transformationsHausdorff measures of noncompactness

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Inclusion and equivalence theorems in summability theory (40D25) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Absolute and strong summability (40F05)

Related Items (4)

Compact matrix operators on Banach space of absolutely $k$-summable series ⋮ Compactness of matrix operators on absolute Fibonacci series spaces ⋮ A new series space derived by absolute generalized Nörlund means ⋮ Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(p\alpha\)-dual spaces of generalized difference sequence spaces
• Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
• Generalization of the sequence space \(\ell (p)\) derived by weighted mean
• On the local properties of factored Fourier series
• Necessary and sufficient conditions for the equivalence of the summability methods \(| \overline{N}, p_n|_ k\) and \(| C,1|_k\)
• Summability factors for lower-semi-matrix transformations
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• On absolute weighted mean summability
• Characterization of absolute summability factors
• Matrix operators on sequence
• On matrix domains of triangles
• 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
• Matrix transformations on fields of absolute weighted mean summability
• Some Remarks on Convergence and Summability Factors
• Summability Factors for Generalized Absolute Summability. I
• On Absolute Weighted Mean Summability Methods
• On Two Absolute Riesz Summability Factors of Infinite Series
• Applied Summability Methods
• On Some Euler Sequence Spaces of Nonabsolute Type
• Note on Convergence and Summability Factors

This page was built for publication: On absolute Euler spaces and related matrix operators