TOTAL DECOMPOSITION AND BLOCK NUMERICAL RANGE

被引:4
作者
Salemi, Abbas [1 ,2 ]
机构
[1] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran
[2] SBUK Ctr Excellence Linear Algebra & Optimizat, Kerman, Iran
关键词
Block numerical range; total decomposition; spectrum;
D O I
10.15352/bjma/1313362979
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let H be a separable Hilbert space and let A is an element of B(H). In this note the notion of a total decomposition is introduced, and it is shown that sometimes the block numerical ranges corresponding to a total decomposition approximate sigma(A), sometimes not.
引用
收藏
页码:51 / 55
页数:5
相关论文
共 6 条
  • [1] [Anonymous], 1997, NUMERICAL RANGE
  • [2] Halmos P.R., 1974, A Hilbert Space Problem Book
  • [3] Horn RA., 2013, MATRIX ANAL
  • [4] Langer H., 1998, J. Operator Theory, V39, P339
  • [5] Rudin W., 1973, FUNCTIONAL ANAL, Vsecond
  • [6] The block numerical range of an n x n block operator matrix
    Tretter, C
    Wagenhofer, M
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (04) : 1003 - 1017