Riemann rearrangement theorem for some types of convergence

DOI10.1016/j.jmaa.2010.08.007zbMath1210.40001arXivmath/0612840OpenAlexW1974128453MaRDI QIDQ711031

Konstantin Slutsky, Yuriy Dybskiy

Publication date: 25 October 2010

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

Full work available at URL: https://arxiv.org/abs/math/0612840

zbMATH Keywords

statistical convergencesum range\(2n\)-convergencerearrangements of series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Ideal and statistical convergence (40A35)

Related Items (3)

A generalized alternating harmonic series ⋮ On the \(c_0\)-equivalence and permutations of series ⋮ Ideal convergent subseries in Banach spaces

Cites Work

• Series in Banach spaces: conditional and unconditional convergence. Transl. from the Russian by Andrei Iacob
• Series rearrangements and analytic sets
• A characterization of Banach spaces with separable duals via weak statistical convergence
• Rearrangments of \(C_1\)-summable series
• Sur la convergence statistique

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