Invertibility and the Fredholm property of difference operators

被引：18

作者：

Baskakov, AG ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh, Russia

来源：

MATHEMATICAL NOTES | 2000年 / 67卷 / 5-6期

关键词：

invertibility; Fredholm property; abstract difference operator; evolution operator; exponential dichotomy; uniform injectivity;

D O I：

10.1007/BF02675622

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain conditions for the invertibility and the Fredholm property of the difference operator (Dx)(n) = x(n) - U(n)x(n - 1), n is an element of Z, in the Banach space l(p)(Z, X), p is an element of [1, infinity], of vector sequences, where X is a Banach space and U is a bounded operator function.

引用

页码：690 / 698

页数：9

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