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

共 50 条

[31] ESSENTIAL SPECTRA IN A BANACH ALGEBRA APPLIED TO LINEAR-OPERATORS
BARNES, BA
PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, 1990, 90 (01) : 73 - 82
[32] OPERATORS ON SEPARABLE BANACH SPACES WITH ARBITRARY PRESCRIBED POINT SPECTRUM
KALISCH, GK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 34 (01) : 207 - &
[33] Sequence of Linear Operators in Non-Archimedean Banach Spaces
Aymen Ammar
Aref Jeribi
Nawrez Lazrag
Mediterranean Journal of Mathematics, 2019, 16
[34] Sequence of Linear Operators in Non-Archimedean Banach Spaces
Ammar, Aymen
Jeribi, Aref
Lazrag, Nawrez
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)
[35] Characterization of Essential Spectra Involving Weakly Demicompact Operators on Banach Spaces
Jeribi, Aref
Krichen, Bilel
Salhi, Makrem
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1513 - 1538
[36] Characterization of Essential Spectra Involving Weakly Demicompact Operators on Banach Spaces
Aref Jeribi
Bilel Krichen
Makrem Salhi
Bulletin of the Iranian Mathematical Society, 2022, 48 : 1513 - 1538
[37] The Essential Pseudo-Spectra of a Sequence of Linear Operators
Aymen Ammar
Aref Jeribi
Complex Analysis and Operator Theory, 2018, 12 : 835 - 848
[38] The Essential Pseudo-Spectra of a Sequence of Linear Operators
Ammar, Aymen
Jeribi, Aref
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (03) : 835 - 848
[39] On the Essential Norm of Multiplications Operators Acting on Cesaro Sequence Spaces
Ramos-Fernandez, Julio C.
Rivera-Sarmiento, Maria A.
Salas-Brown, Margot
JOURNAL OF FUNCTION SPACES, 2019, 2019
[40] On the essential spectrum of transport operators on L1-spaces
Latrach, K.
Jeribi, A.
Journal of Mathematical Physics, 37 (12):

← 1 2 3 4 5 →