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
收藏
页码：1487 / 1496
页数：10
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