Approximation of subspaces of symmetric spaces generated by independent functions

被引：1

作者：

Astashkin, S. V. ^{[1
]}

机构：

[1] Samara State Univ, Samara 443086, Russia

来源：

MATHEMATICAL NOTES | 2014年 / 96卷 / 5-6期

关键词：

uniformity function; independent functions; symmetric space; Orlicz space; Kruglov property; PRODUCTS;

D O I：

10.1134/S0001434614110017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a subspace of a symmetric space X generated by n independent identically distributed functions. It is proved that, under certain conditions on X, there exists a projection P, aEuro-PaEuro- a parts per thousand currency sign K (K depending only on X) whose image contains E and has dimension at most Cnln(n + 1) (C is independent of n and X).

引用

页码：625 / 633

页数：9

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