Matrix summability and uniform convergence of series

DOI10.1090/S0002-9939-07-08882-XzbMath1128.46008OpenAlexW2039436619MaRDI QIDQ5308125

C. Pérez-Eslava, Francisco Javier García-Pacheco, Antonio Aizpuru

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08882-x

zbMATH Keywords

uniform convergenceunconditionally convergent seriesmatrix summabilityregular matricesweakly 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)

Related Items (4)

Banach limits and uniform almost summability ⋮ Vector-valued almost convergence and classical properties in normed spaces ⋮ On \(\ell_\infty \)-Grothendieck subspaces ⋮ Vector-valued spaces of multiplier statistically convergent series and uniform convergence

Cites Work

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• A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
• Matrix summability methods and weakly unconditionally Cauchy series
• The Schur lemma for bounded multiplier convergent series
• Unconditionally convergent series of operators on Banach spaces
• Boolean algebras and uniform convergence of series
• On bases and unconditional convergence of series in Banach spaces
• Spaces of \(S\)-bounded multiplier convergent series

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