Fredholm theory on Krein spaces and its application to pseudospectrum

被引：0
|
作者：
Dhahri, Mohammed Zerai [1 ]
Jeribi, Aref [2 ]
Mahfoudhi, Kamel [3 ]
机构：
[1] Univ Monastir, Preparatory Inst Engn Studies Monastir, Monastir 5019, Tunisia
[2] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia
[3] Univ Sousse, Higher Inst Appl Sci & Technol Sousse, Sousse, Tunisia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2024年
关键词：
Krein space; pseudospectrum; J-essential pseudospectrum; Hamiltonian system; OPERATORS;
D O I：
10.1080/03081087.2024.2364703
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and study the J-essential pseudospectra of bounded linear operators on Krein spaces, and some of their properties are studied. Furthermore, we discuss the structure of the J-essential pseudospectra of infinite-dimensional Hamiltonian operators.
引用
收藏
页数：18
相关论文
共 50 条
12345