Convergence of polynomially bounded semigroups of matrices

被引：7

作者：

Gurvits, L ^{[1
]}

Rodman, L ^{[1
]}

机构：

[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1997年 / 18卷 / 02期

关键词：

uniform convergence; pointwise convergence; infinite products; matrix semigroups;

D O I：

10.1137/S089547989528939X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that for polynomially bounded sets of matrices the:notions of pointwise convergence and uniform convergence coincide. This result is also proved for certain sets of nonlinear maps on finite-dimensional real or complex vector spaces.

引用

页码：360 / 368

页数：9

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