Fundamental reducibility of normal operators on Krein space

被引：0

作者：

Bayasgalan, T ^{[1
]}

机构：

[1] Mongolian State Univ, Dept Math, Ulan Bator 210646, Mongolia

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 1999年 / 35卷 / 1-2期

关键词：

Krein space; numerical ranges of operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we study fundamental reducibility of normal operators on Krein space. Fundamental reducibility of selfadjoint operators on Krein space, also fundamental reducibility of normal operators on Pontrjagin space has been studied in [1], [2]. For basic definitions and facts on Krein spaces and operators in these spaces we refer to [3].

引用

页码：147 / 150

页数：4

共 50 条

[11] Normal Extensions of Semigroups of Operators to Krein Spaces
伍镜波
Acta Mathematica Sinica, 1991, (03) : 205 - 215
[12] Normal generalized selfadjoint operators in Krein spaces
McCullough, SA
Rodman, L
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 283 (1-3) : 239 - 245
[13] On Strongly Stable Normal Operators in Krein Spaces
Ts. Bayasgalan
Acta Mathematica Hungarica, 1998, 81 : 275 - 278
[14] On strongly stable normal operators in Krein spaces
Bayasgalan, T
ACTA MATHEMATICA HUNGARICA, 1998, 81 (03) : 275 - 278
[15] Computing the numerical range of Krein space operators
Bebiano, Natalia
da Providencia, J.
Nata, A.
da Providencia, J. P.
OPEN MATHEMATICS, 2015, 13 (01): : 146 - 156
[16] Locally definite normal operators in Krein spaces
Philipp, Friedrich
JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (12) : 4929 - 4947
[17] On strongly stable normal operators in Krein spaces
TS Bayasgalan
Integral Equations and Operator Theory, 1998, 31 : 255 - 258
[18] Schur complements of selfadjoint Krein space operators
Contino, Maximiliano
Maestripieri, Alejandra
Marcantognini, Stefania
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 581 : 214 - 246
[19] On simultaneously definitizable and spectralizable operators in Krein space
Strauss, V
MATHEMATISCHE NACHRICHTEN, 2002, 245 : 167 - 184
[20] HILBERT-SPACE OPERATORS THAT ARE SUBNORMAL IN THE KREIN SPACE SENSE
COWEN, CC
LI, SK
JOURNAL OF OPERATOR THEORY, 1988, 20 (01) : 165 - 181

← 1 2 3 4 5 →