ERGODIC THEOREMS IN SYMMETRIC SEQUENCE SPACES

被引：1
|
作者：
Chilin, Vladimir [1 ]
Azizov, Azizkhon [1 ]
机构：
[1] Natl Univ Uzbekistan, Tashkent 700174, Uzbekistan
来源：
COLLOQUIUM MATHEMATICUM | 2019年 / 156卷 / 01期
关键词：
symmetric sequence spaces; Orlicz sequence space; Lorentz sequence space; uniform convergence; Dunford-Schwartz operator; individual ergodic theorem; mean ergodic theorem;
D O I：
10.4064/cm7384-2-2018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the averages n(-1)Sigma T-n-1(k=0)k, where T is a Dunford- Schwartz operator, strongly converge in a symmetric sequence space E if and only if E is separable and E not equal l(1).
引用
收藏
页码：57 / 68
页数：12
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