Characterization of summing operators in multiplier spaces of deferred Nörlund summability

DOI10.1007/s11117-022-00961-7OpenAlexW4313335297MaRDI QIDQ2108980

Swati Jasrotia, Kuldip Raj, Syed Abdul Mohiuddine

Publication date: 20 December 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00961-7

zbMATH Keywords

multiplier spacesOrlicz-Pettis theoremweakly unconditionally Cauchy seriesdeferred Nörlund meanoperator valued series

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Functional analytic methods in summability (40H05)

Cites Work

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• A bilinear Orlicz-Pettis theorem
• On deferred Cesaro means
• On Cesàro summability of vector valued multiplier spaces and operator valued series
• Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
• On a class of vector-valued sequences associated with multiplier sequences
• Vector valued multiplier spaces of \(f_\lambda \)-summability, completeness through \(c_0(X)\)-multiplier convergence and continuity and compactness of summing operators
• Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems
• Applications of Orlicz-Pettis theorem in vector valued multiplier spaces of generalized weighted mean fractional difference operators
• Operator valued series, almost summability of vector valued multipliers and (weak) compactness of summing operator
• A generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theorem
• Almost summability and unconditionally Cauchy series
• On some generalized difference paranormed sequence spaces associated with multiplier sequence defined by modulus function
• Summability Theory And Its Applications
• On Relationships Amongst Certain Spaces Of Sequences In An Arbitrary Banach Space
• Orlicz-Pettis Type Theorems via Strong p-Cesàro Convergence
• A certain class of statistical probability convergence and its applications to approximation theorems
• Applied Summability Methods

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