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Convergent subseries of s ℐ -convergent series
Lithuanian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-01-04 , DOI: 10.1007/s10986-020-09504-7
Ladislav Mišík , Martin Sleziak , Jacek Tryba

We say that an ideal ℐ has property (T) if for every ℐ -convergent series ∑ n = 1 ∞ x n , $$ {\sum}_{n=1}^{\infty }{x}_n, $$ there exists a set A ∈ ℐ such that Σ n ∈ℕ\ A x n 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 .

中文翻译:

s ℐ -收敛级数的收敛子级数

我们说理想的 ℐ 具有性质 (T) 如果对于每个 ℐ -收敛级数 ∑ n = 1 ∞ xn , $$ {\sum}_{n=1}^{\infty }{x}_n, $$存在一个集合 A ∈ ℐ 使得 Σ n ∈ℕ\ A xn 在通常意义上收敛。本文的目的是在 cov ( ℳ ) = c 的假设下构造一个具有性质 (T) 的非平凡理想。
更新日期:2021-01-04
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