Mean ergodic theorem in symmetric spaces

被引：3
|
作者：
Sukochev, Fedor [1 ]
Veksler, Aleksandr [2 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
[2] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 05期
关键词：
D O I：
10.1016/j.crma.2017.03.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the validity of the Mean Ergodic Theorem in symmetric Banach function spaces E. The assertion of that theorem always holds when E is separable, whereas the situation is more delicate when E is non-separable. To describe positive results in the latter setting, we use the connections with the theory of singular traces. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：559 / 562
页数：4
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