Algebrability of conditionally convergent series with Cauchy product

DOI10.1016/j.jmaa.2011.07.008zbMath1230.40008OpenAlexW2086139921MaRDI QIDQ641630

Artur Bartoszewicz, Szymon Głąb

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.008

zbMATH Keywords

algebrabilityCauchy product of series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Functional analytic methods in summability (40H99)

Related Items (7)

Lineability, algebrability, and sequences of random variables ⋮ The Character of Convergence of the Cauchy Product ⋮ Large free linear algebras of real and complex functions ⋮ Additivity and lineability in vector spaces ⋮ Algebraic genericity and summability within the non-Archimedean setting ⋮ Algebrability, non-linear properties, and special functions ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

• On algebrability of nonabsolutely convergent series
• Lineability, spaceability, and algebrability of certain subsets of function spaces
• Linear structure of sets of divergent sequences and series
• Lineability and algebrability of pathological phenomena in analysis
• Uncountably generated algebras of everywhere surjective functions
• Algebrability of the set of everywhere surjective functions on \(\mathbb C\)
• Strong algebrability of sets of sequences and functions
• Algebrability of the set of non-convergent Fourier series

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