Infinite Toplitz-Lipschitz matrices and operators

被引：10

作者：

Eliasson, H. L. ^{[1
]}

Kuksin, S. B. ^{[2
,3
]}

机构：

[1] Univ Paris 07, Dept Math, F-7052 Paris, France

[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[3] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 01期

关键词：

Toplitz matrix; Hankel matrix; infinite matrix; matrix algebra;

D O I：

10.1007/s00033-006-6030-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a class of infinite matrices (A(ss)', s, s' epsilon Z(d)), which are asymptotically (as vertical bar s vertical bar + vertical bar s'vertical bar -> infinity) close to Hankel-Toplitz matrices. We prove that this class forms an algebra, and that flow-maps of nonautonomous linear equations with coefficients from the class also belong to it.

引用

页码：24 / 50

页数：27