On strongly stable normal operators in Krein spaces

被引：2
|
作者：
Bayasgalan, T
机构：
来源：
ACTA MATHEMATICA HUNGARICA | 1998年 / 81卷 / 03期
关键词：
Normal Operator; Unitary Operator; Selfadjoint Operator; Strong Stability; Krein Space;
D O I：
10.1023/A:1006554718787
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a necessary and sufficient condition for strong stability of bounded normal operators in Krein spaces. A similar result was obtained for unitary operators by M. G. Krein [1], and for selfadjoint operators by H. Langer [2], [3].
引用
收藏
页码：275 / 278
页数：4
相关论文
共 50 条
  • [21] Normal Projections in Krein Spaces
    Maestripieri, Alejandra
    Martinez Peria, Francisco
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 76 (03) : 357 - 380
  • [22] Generalized Jacobi operators in Krein spaces
    Derevyagin, Maxim
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (02) : 568 - 582
  • [23] Normal Projections in Krein Spaces
    Alejandra Maestripieri
    Francisco Martínez Pería
    Integral Equations and Operator Theory, 2013, 76 : 357 - 380
  • [24] Hilbert–Pólya Operators in Krein Spaces
    V. V. Kapustin
    Siberian Mathematical Journal, 2024, 65 : 72 - 75
  • [25] ON MODELS OF FUNCTION TYPE FOR A SPECIAL CLASS OF NORMAL OPERATORS IN KREIN SPACES AND THEIR POLAR REPRESENTATION
    Strauss, Vladimir
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2007, 13 (01): : 67 - 82
  • [26] THE ESSENTIAL UNIQUENESS PROPERTY FOR OPERATORS ON KREIN SPACES
    DRITSCHEL, MA
    JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 118 (01) : 198 - 248
  • [27] SPECTRAL FUNCTIONS OF DEFINITIZABLE OPERATORS IN KREIN SPACES
    LANGER, H
    LECTURE NOTES IN MATHEMATICS, 1982, 948 : 1 - 46
  • [28] Positive operators on Banach spaces ordered by strongly normal cones
    Emel'yanov, EY
    Wolff, MPH
    POSITIVITY, 2003, 7 (1-2) : 3 - 22
  • [29] ON THE GEOMETRY OF NORMAL PROJECTIONS IN KREIN SPACES
    Chiumiento, Eduardo
    Maestripieri, Alejandra
    Martinez Peria, Francisco
    JOURNAL OF OPERATOR THEORY, 2015, 74 (01) : 75 - 99
  • [30] Positive Operators on Banach Spaces Ordered by Strongly Normal Cones
    Eduard Yu. Emel'yanov
    Manfred P. H. Wolff
    Positivity, 2003, 7 : 3 - 22
12345