Banach-Steinhaus type theorems for statistical and \({\mathcal I}\)-convergence with applications to matrix maps

DOI10.1216/RMJ-2010-40-1-279zbMath1201.40006MaRDI QIDQ968587

Enno Kolk

Publication date: 5 May 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

statistical convergencematrix transformationsI-convergence

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Related Items

Unnamed Item, Filter-dependent versions of the uniform boundedness principle, A characterization of \((\mathcal{I,J})\)-regular matrices, Matrix transformations related to I-convergent sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Densities and summability
• \(\mathcal I\)-convergence
• Verallgemeinerte Matrixtransformationen
• Statistical convergence in a locally convex space
• Sur la convergence statistique
• Banach sequence spaces