On some vector valued multiplier spaces with statistical Cesàro summability

DOI10.2298/FIL1916135KzbMath1499.46036MaRDI QIDQ5864244

Ramazan Kama

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

summing operatorstatistical Cesàro convergentstatistically Cesàro summabilityvector valued multiplier space

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45)

Related Items

\(f\)-statistical convergence on topological modules, Spaces of vector sequences defined by the \(f\)-statistical convergence and some characterizations of normed spaces, Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem, General methods of convergence and summability, Composition of Cesàro and backward difference operators

Cites Work

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• A remark about the statistical Cesàro summability and the Orlicz-Pettis theorem
• \(\lambda\)-statistical convergence of order \(\alpha\)
• Generalized statistical convergence
• Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems
• On the invariant mean and statistical convergence
• On Cesàro summability of vector valued multiplier spaces and operator valued series
• A characterization of Banach spaces with separable duals via weak statistical convergence
• On statistical convergence in quasi-metric spaces
• Vector-valued almost convergence and classical properties in normed spaces
• Almost summability and unconditionally Cauchy series
• I-lacunary statistical convergence of sequences of sets
• Summability Theory And Its Applications
• The Integrability of Certain Functions and Related Summability Methods
• Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Statistical convergence in a locally convex space
• Statistical (C,1) (E,1) summability and Korovkin’s theorem
• Sur la convergence statistique