The perturbation classes problem in Fredholm theory

被引：26

作者：

González, M ^{[1
]}

机构：

[1] Univ Cantabria, Fac Ciencias, Dept Matemat, E-39071 Santander, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 200卷 / 01期

关键词：

semi-Fredholm operator; perturbation class; strictly singular operator;

D O I：

10.1016/S0022-1236(02)00071-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a negative answer to the perturbation classes problem: the perturbation class of the upper semi-Fredholm operators contains properly the strictly singular operators, and the perturbation class of the lower semi-Fredholm operators contains properly the strictly cosingular operators. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：65 / 70

页数：6

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