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
  • [31] A definition of numerical range of rectangular matrices
    Chorianopoulos, Ch
    Karanasios, S.
    Psarrakos, P.
    LINEAR & MULTILINEAR ALGEBRA, 2009, 57 (05): : 459 - 475
  • [32] Quaternionic numerical range of complex matrices
    Carvalho, Luis
    Diogo, Cristina
    Mendes, Sergio
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 620 : 168 - 181
  • [33] ON THE MAXIMAL NUMERICAL RANGE OF SOME MATRICES
    Hamed, Ali N.
    Spitkovsky, Ilya M.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2018, 34 : 288 - 303
  • [34] Operators in Krein space
    Azizov, TY
    Sukhocheva, LI
    Shtraus, VA
    MATHEMATICAL NOTES, 2004, 76 (3-4) : 306 - 314
  • [35] INVESTIGATING THE NUMERICAL RANGE AND Q-NUMERICAL RANGE OF NON SQUARE MATRICES
    Aretaki, Aikaterini
    Maroulas, John
    OPUSCULA MATHEMATICA, 2011, 31 (03) : 303 - 315
  • [36] Idempotents and Krein Space
    Matvejchuk, M. S.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2011, 32 (02) : 128 - 134
  • [37] Operators in Krein Space
    T. Ya. Azizov
    L. I. Sukhocheva
    V. A. Shtraus
    Mathematical Notes, 2004, 76 : 306 - 314
  • [38] The c-numerical range of tridiagonal matrices
    Chien, MT
    Nakazato, H
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 335 (1-3) : 55 - 61
  • [39] Numerical range of some doubly stochastic matrices
    Camenga, Kristin A.
    Rault, Patrick X.
    Rossi, Daniel J.
    Sendova, Tsvetanka
    Spitkovsky, Ilya M.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 40 - 47
  • [40] ON THE NUMERICAL RANGE OF KAC-SYLVESTER MATRICES
    Bebiano, N.
    Lemos, R.
    Soares, G.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2023, 39 : 242 - 259
12345