Rearrangement of conditionally convergent series on a small set

DOI10.1016/j.jmaa.2009.07.029zbMath1188.40001OpenAlexW1971157607WikidataQ63347182 ScholiaQ63347182MaRDI QIDQ1039452

Rafał Filipów, Piotr Szuca

Publication date: 30 November 2009

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.2009.07.029

zbMATH Keywords

Bolzano-Weierstrass propertyRiemann's theoremsummable idealsstatistical densityrearrangement of seriesanalytic ideals\(P\)-idealsextending idealspositive summability property

Mathematics Subject Classification ID

Ideal and statistical convergence (40A35)

Related Items (11)

Achievement sets and sum ranges with ideal supports ⋮ On some properties of Lévy vectors and their variations ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ Changes of signs in conditionally convergent series on a small set ⋮ Certain multiplier version of the Riemann derangement theorem ⋮ Rearranging series of vectors on a small set ⋮ On the \(c_0\)-equivalence and permutations of series ⋮ Extendability to summable ideals ⋮ Different kinds of density ideals ⋮ REPRESENTATIONS OF IDEALS IN POLISH GROUPS AND IN BANACH SPACES ⋮ Ideals of nowhere dense sets in some topologies on positive integers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of sum-preserving permutations
• Analytic ideals and their applications
• Rearrangement of convergent series
• Van der Waerden spaces
• An Application of Network Flows to Rearrangement of Series
• Some Applications of Theorems on Uniform Cauchy Points to Infinite Series
• Statistical Convergence of Infinite Series
• Stable Kneser hypergraphs and ideals in $\mathbb {N}$ with the Nikodým property
• On Certain Boolean Algebras P(ω)/I
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• Rearrangements of Conditionally Convergent Real Series with Preassigned Cycle Type
• Remarks on Subsequences, Subseries and Rearrangements
• A Note on Borel Equivalence Relations
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Ideal convergence of bounded sequences
• Cardinal Invariants of Analytic P-Ideals
• On rearrangements of series
• On Rearrangements of Series

This page was built for publication: Rearrangement of conditionally convergent series on a small set