Fredholm theory and finite section method for band-dominated operators

被引：83

作者：

Rabinovich, VS

Roch, S

Silbermann, B

机构：

[1] Rostov Don State Univ, Dept Mech & Math, Rostov 344104, Russia

[2] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany

[3] Tech Univ Chemnitz Zwickau, Fak Math, D-09107 Chemnitz, Germany

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1998年 / 30卷 / 04期

关键词：

47B37; 47D30; 65J10; 65L12;

D O I：

10.1007/BF01257877

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The topics of this paper are Fredholm properties and the applicability of the finite section method for band operators on l(p)-spaces as well as for their norm limits which we call band-dominated operators. The derived criteria will be established in terms of the limit operators of the given band-dominated operator. After presenting the general theory, we present its specifications to concrete classes of band-dominated operators.

引用

页码：452 / 495

页数：44

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