On the B-Fredholm Alternative

被引：7

作者：

Berkani, Mohammed ^{[1
]}

机构：

[1] Univ Mohammed 1, Fac Sci, Dept Math, Oujda 60000, Morocco

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 03期

关键词：

Unbounded B-Fredholm operators; index; Drazin inverse; Fredholm alternative; ASCENT DESCENT NULLITY; OPERATORS; DEFECT;

D O I：

10.1007/s00009-013-0260-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to give an extended version of the Fredholm alternative, by including the B-Fredholm case. Thus if T a B-Fredholm operator acting on a Banach space, we study equations of the type T(x) = y, for x, y elements of the range R(T (n) ) of T for . In this study we include the case when 0 is a pole of infinite rank of the resolvent of T. Preliminarily, we define unbounded closed B-Fredholm operators on Banach spaces.

引用

页码：1487 / 1496

页数：10

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