RANDOM PRODUCTS OF CONTRACTIONS IN BANACH-SPACES

被引：29

作者：

DYE, J

KHAMSI, MA

REICH, S

机构：

[1] UNIV RHODE ISL,DEPT MATH,KINGSTON,RI 02881

[2] UNIV SO CALIF,DEPT MATH,LOS ANGELES,CA 90089

[3] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 325卷 / 01期

关键词：

CONTRACTION; RANDOM PRODUCT; WEAK CONVERGENCE;

D O I：

10.2307/2001660

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the random product of a finite number of (W) contractions converges weakly in all smooth reflexive Banach spaces. If one of the contractions is compact, then the convergence is uniform.

引用

页码：87 / 99

页数：13

共 50 条

[1] RANDOM PRODUCTS OF CONTRACTIONS IN METRIC AND BANACH-SPACES
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