Note on extensions of asymptotic density

被引：23

作者：

Blass, A ^{[1
]}

Frankiewicz, R

Plebanek, G

Ryll-Nardzewski, C

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Polish Acad Sci, Inst Math, PL-00950 Warsaw, Poland

[3] Univ Wroclaw, Inst Math, PL-50218 Wroclaw, Poland

[4] Wroclaw Tech Univ, Inst Math, PL-51617 Wroclaw, Poland

[5] Polish Acad Sci, Inst Math, PL-51617 Wroclaw, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-01-05941-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By a density we mean any extension of the asymptotic density to a finitely additive measure defined on all sets of natural numbers. We consider densities associated to ultrafilters on omega and investigate two additivity properties of such densities. In particular, we show that there is a density nu for which L-1(nu) is complete.

引用

页码：3313 / 3320

页数：8

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