Lacunary convergence of series in L0

被引：2

作者：

Drewnowski, L

Labuda, I

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland

[2] Univ Mississippi, Dept Math, University, MS 38677 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 06期

关键词：

space of all measurable functions; subseries convergence in measure; lacunary subseries;

D O I：

10.1090/S0002-9939-98-04189-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a finite measure lambda, let L-0(lambda) denote the space of lambda-measurable functions equipped with the topology of convergence in measure. We prove that a series in L-0(lambda) is subseries (or unconditionally) convergent provided each of its lacunary subseries converges.

引用

页码：1655 / 1659

页数：5

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