Computing the q-Numerical Range of Differential Operators

被引:1
|
作者
Muhammad, Ahmed [1 ]
Shareef, Faiza Abdullah [1 ]
机构
[1] Univ Salahaddin, Coll Sci, Dept Math, Erbil, Iraq
关键词
14;
D O I
10.1155/2020/6584805
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by variational methods. Application to Schrodinger operator, Stokes operator, and Hain-Lust operator is given.
引用
收藏
页数:12
相关论文
共 50 条
  • [21] Perturbation of the q-numerical radius of a weighted shift operator
    Chien, Mao-Ting
    Nakazato, Hiroshi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 954 - 963
  • [22] LINEAR-OPERATORS PRESERVING THE (P,Q)-NUMERICAL RANGE
    LI, CK
    TAM, BS
    TSING, NK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 110 : 75 - 89
  • [23] Computing c-numerical range of differential operator matrices
    Muhammad, Ahmed
    Hamad, Wlat
    FILOMAT, 2024, 38 (07) : 2243 - 2252
  • [24] Generating curves of the inverse q-numerical ranges of 2-by-2 matrices
    Mao-Ting Chien
    Hiroshi Nakazato
    Mohammad Sal Moslehian
    Ali Zamani
    Archiv der Mathematik, 2020, 115 : 667 - 677
  • [25] Generating curves of the inverse q-numerical ranges of 2-by-2 matrices
    Chien, Mao-Ting
    Nakazato, Hiroshi
    Moslehian, Mohammad Sal
    Zamani, Ali
    ARCHIV DER MATHEMATIK, 2020, 115 (06) : 667 - 677
  • [26] New upper bounds for the q-numerical radii of 2 x 2 operator matrices
    Kittaneh, Fuad
    Rashid, M. H. M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 467
  • [27] Operators with numerical range in a parabola
    Crouzeix, M
    ARCHIV DER MATHEMATIK, 2004, 82 (06) : 517 - 527
  • [28] ON OPERATORS PRESERVING THE NUMERICAL RANGE
    OMLADIC, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 134 : 31 - 51
  • [29] Product of operators and numerical range
    Chien, Mao-Ting
    Gau, Hwa-Long
    Li, Chi-Kwong
    Tsai, Ming-Cheng
    Wang, Kuo-Zhong
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (01): : 58 - 67
  • [30] On the numerical range of tridiagonal operators
    Chien, Mao-Ting
    Linear Algebra and Its Applications, 1996, 246 : 203 - 214