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Convergent subseries of s ℐ -convergent series

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202AY3" target="_blank" >RIV/61988987:17310/21:A2202AY3 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.journals.vu.lt/LMJ/" target="_blank" >https://www.journals.vu.lt/LMJ/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10986-020-09504-7" target="_blank" >10.1007/s10986-020-09504-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Convergent subseries of s ℐ -convergent series

  • Original language description

    We say that an ideal ℐ has property (T) if for every ℐ-convergent series ∑ x_n there exists a set A ∈ ℐ such that ∑_{n notin A} x_n converges in the usual sense. there exists a set A ∈ ℐ such that Σn∈ℕA xn converges in the usual sense. The aim of this paper is to construct a nontrivial ideal with property (T) under the assumption that cov (ℳ) = c.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Lith. Math. J.

  • ISSN

    0363-1672

  • e-ISSN

  • Volume of the periodical

    61

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    LT - LITHUANIA

  • Number of pages

    4

  • Pages from-to

    56-59

  • UT code for WoS article

    000604783100001

  • EID of the result in the Scopus database