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

页码：373 / 380

页数：8

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