Matrix summability methods and weakly unconditionally Cauchy series

DOI10.1216/RMJ-2009-39-2-367zbMath1173.40003OpenAlexW2006363103MaRDI QIDQ1024934

Juan B. Seoane-Sepúlveda, C. Pérez-Eslava, Antonio Aizpuru

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-2-367

zbMATH Keywords

Orlicz-Pettis theoremmatrix summabilityweakly unconditionally Cauchy series

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45)

Related Items (4)

Matrix summability and uniform convergence of series ⋮ Vector-valued almost convergence and classical properties in normed spaces ⋮ Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem ⋮ A generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theorem

Cites Work

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• Unconditionally Cauchy series and Cesàro summability
• Matrix methods in analysis
• On Relationships Amongst Certain Spaces Of Sequences In An Arbitrary Banach Space
• On bases and unconditional convergence of series in Banach spaces
• Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series

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