Permutations preserving sums of rearranged real series

被引：4
|
作者：
Witula, Roman [1 ]
机构：
[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 05期
关键词：
Permutations preserving sums of series; Convergent permutations; Divergent permutations; INFINITE SERIES; VECTOR SERIES; CONVERGENCE;
D O I：
10.2478/s11533-012-0156-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to discuss one of the most interesting and unsolved problems of the real series theory: rearrangements that preserve sums of series. Certain hypothesis about combinatorial description of the corresponding permutations is presented and basic algebraic properties of the family , introduced by it, are investigated.
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页码：956 / 965
页数：10
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