Matrices with hyperbolical Krein space numerical range

被引：0
|
作者：
Bebiano, N. [1 ,2 ]
Lemos, R. [3 ,4 ]
Soares, G. [5 ,6 ]
机构：
[1] Univ Coimbra, CMUC, P-3001501 Coimbra, Portugal
[2] Univ Coimbra, Math Dept, P-3001501 Coimbra, Portugal
[3] Univ Aveiro, CIDMA, P-3810193 Aveiro, Portugal
[4] Univ Aveiro, Math Dept, P-3810193 Aveiro, Portugal
[5] Univ Tras Os Montes & Alto Douro, CMAT UTAD, P-5000801 Vila Real, Portugal
[6] Univ Tras Os Montes & Alto Douro, Math Dept, P-5000801 Vila Real, Portugal
来源：
ADVANCES IN OPERATOR THEORY | 2025年 / 10卷 / 01期
关键词：
Numerical range; Krein space; Centrosymmetric matrices; Tridiagonal matrices; Hyperbolical range theorem; KIPPENHAHN CURVES; OPERATORS; GEOMETRY;
D O I：
10.1007/s43036-024-00399-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Necessary and sufficient conditions for low dimensional tridiagonal matrices to have this shape are obtained involving only the matrix entries.
引用
收藏
页数：19
相关论文
共 50 条
  • [41] On the numerical range of matrices defined over a finite field
    Ballico, E.
    FINITE FIELDS AND THEIR APPLICATIONS, 2020, 67
  • [42] A new perspective on the quaternionic numerical range of normal matrices
    Carvalho, Luis
    Diogo, Cristina
    Mendes, Sergio
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20) : 5068 - 5074
  • [43] On the convexity and circularity of the numerical range of nilpotent quaternionic matrices
    Carvalho, Luis
    Diogo, Cristina
    Mendes, Sergio
    NEW YORK JOURNAL OF MATHEMATICS, 2019, 25
  • [44] The numerical range of matrices over F4
    Ballico, Edoardo
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) : 955 - 964
  • [45] On Dual Definite Subspaces in Krein Space
    Kamuda, A.
    Kuzhel, S.
    Sudilovskaya, V.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 1011 - 1032
  • [46] On Dual Definite Subspaces in Krein Space
    A. Kamuda
    S. Kuzhel
    V. Sudilovskaya
    Complex Analysis and Operator Theory, 2019, 13 : 1011 - 1032
  • [47] A Variational Principle in Krein Space II
    P. Binding
    R. Hryniv
    B. Najman
    Integral Equations and Operator Theory, 2005, 51 : 477 - 500
  • [48] Joint product numerical range and geometry of reduced density matrices
    Chen, Jianxin
    Guo, Cheng
    Ji, Zhengfeng
    Poon, Yiu-Tung
    Yu, Nengkun
    Zeng, Bei
    Zhou, Jie
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2017, 60 (02)
  • [49] Joint product numerical range and geometry of reduced density matrices
    Jianxin Chen
    Cheng Guo
    Zhengfeng Ji
    Yiu-Tung Poon
    Nengkun Yu
    Bei Zeng
    Jie Zhou
    Science China Physics, Mechanics & Astronomy, 2017, 60
  • [50] Joint product numerical range and geometry of reduced density matrices
    Jianxin Chen
    Cheng Guo
    Zhengfeng Ji
    Yiu-Tung Poon
    Nengkun Yu
    Bei Zeng
    Jie Zhou
    Science China(Physics,Mechanics & Astronomy), 2017, (02) : 15 - 23
12345