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

页数：18

共 50 条

[41] THEOREM OF ARITHMETIC AND ITS APPLICATION TO THEORY OF MEANS IN HILBERT SPACES
BASS, J
COUOT, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (25): : 1194 - &
[42] On inner characterizations of Pseudo-Krein and pre-krein spaces
Hofmann, G
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2002, 38 (04) : 895 - 922
[43] A degree theory for locally compact perturbations of fredholm maps in Banach spaces
Benevieri, Pierluigi
Furi, Massimo
ABSTRACT AND APPLIED ANALYSIS, 2006,
[44] Fredholm theory for elliptic operators on quasi-asymptotically conical spaces
Degeratu, Anda
Mazzeo, Rafe
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018, 116 : 1112 - 1160
[45] FREDHOLM THEORY FOR P-ADIC LOCALLY CONVEX-SPACES
DEGRANDEDEKIMPE, N
MARTINEZMAURICA, J
ANNALI DI MATEMATICA PURA ED APPLICATA, 1991, 160 : 223 - 234
[46] Decomposition of selfadjoint projections in Krein spaces
Maestripieri, Alejandra
Peria, Francisco Martinez
ACTA SCIENTIARUM MATHEMATICARUM, 2006, 72 (3-4): : 611 - 638
[47] Index formulae for subspaces of Krein spaces
Dijksma, A
Gheondea, A
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1996, 25 (01) : 58 - 72
[48] KREIN SPACES OF ANALYTIC-FUNCTIONS
DEBRANGES, L
JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 81 (02) : 219 - 259
[49] T-Fredholm analysis and application to operator theory
Baklouti, Hamadi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 283 - 289
[50] SOME QUESTIONS IN THE PERTURBATION-THEORY OF J-NONNEGATIVE OPERATORS IN KREIN SPACES
JONAS, P
LANGER, H
MATHEMATISCHE NACHRICHTEN, 1983, 114 : 205 - 226

← 1 2 3 4 5 →