A simplified construction of the Lebesgue integral

被引：0
|
作者：
Komornik, V. [1 ,2 ]
机构：
[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China
[2] Univ Strasbourg, Dept Math, 7 Rue Rene Descartes, F-67084 Strasbourg, France
来源：
ACTA MATHEMATICA HUNGARICA | 2019年 / 158卷 / 02期
关键词：
Lebesgue integral; Riesz-Daniell approach; generalized Beppo Levi theorem; Fubini-Tonelli theorem; primary; 28A25; secondary; 26A42; 28A35;
D O I：
10.1007/s10474-019-00912-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a modification of Riesz's construction of the Lebesgue integral, leading directly to finite or infinite integrals, at the same time simplifying the proofs.
引用
收藏
页码：318 / 337
页数：20
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