ESSENTIAL APPROXIMATE POINT AND ESSENTIAL DEFECT SPECTRUM OF A SEQUENCE OF LINEAR OPERATORS IN BANACH SPACES

被引：0
|
作者：
Heraiz, Toufik [1 ]
Ammar, Aymen [2 ]
Jeribi, Aref [2 ]
机构：
[1] Univ Mohammed Boudiaf Msila, Dept Math, Msila, Algeria
[2] Univ Sfax, Dept Math, Fac Sci Sfax, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2019年 / 25卷 / 04期
关键词：
Essential approximate point spectrum; essential defect spectrum; convergence in the generalized sense; convergence to zero compactly;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to an investigation of the relationship between the essential approximate point spectrum (respectively, the essential defect spectrum) of a sequence of closed linear operators (T-n)(n is an element of N) on a Banach space X, and the essential approximate point spectrum (respectively, the essential defect spectrum) of a linear operator T on X, where (T-n)(n is an element of N) converges to T, in the case of convergence in generalized sense as well as in the case of the convergence compactly
引用
收藏
页码：373 / 380
页数：8
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