Convergent subseries of s ℐ -convergent series

Autor:	Jacek Tryba, Martin Sleziak, Ladislav Mišík
Rok vydání:	2021
Předmět:	Combinatorics 010104 statistics & probability Number theory Series (mathematics) Has property General Mathematics Ordinary differential equation 010102 general mathematics Ideal (ring theory) 0101 mathematics 01 natural sciences Convergent series Mathematics
Zdroj:	Lithuanian Mathematical Journal. 61:56-59
ISSN:	1573-8825 0363-1672
DOI:	10.1007/s10986-020-09504-7
Popis:	We say that an ideal ℐ has property (T) if for every ℐ-convergent series $$ {\sum}_{n=1}^{\infty }{x}_n, $$ there exists a set A ∈ ℐ such that Σn∈ℕ\A 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::142b4bf1447794f43d0c70e81950d625 https://doi.org/10.1007/s10986-020-09504-7 Zobrazit plný text záznamu Full text from SpringerLink