REARRANGING ABSOLUTELY CONVERGENT WELL-ORDERED SERIES IN BANACH SPACES

被引：0

作者：

Cacic, Vedran ^{[1
]}

Doko, Marko ^{[2
]}

Horvat, Marko ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

[2] Max Planck Inst Software Syst, D-67663 Kaiserslautern, Germany

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2019年 / 23卷 / 538期

关键词：

Well-ordered series; summability; absolute convergence; reordering; Banach spaces; ordinals;

D O I：

10.21857/yq32oh4qd9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify a general reordering principle for well-ordered series in Banach spaces. We prove that for every absolutely convergent well-ordered series indexed by a countable ordinal, if the series is rearranged according to any countable ordinal, then the absolute convergence and the sum of the series remain unchanged.

引用

页码：1 / 11

页数：11

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