INVERTIBLE COMPLETIONS OF OPERATOR MATRICES

被引:61
|
作者
TAKAHASHI, K [1 ]
机构
[1] HOKKAIDO UNIV,DEPT MATH,SAPPORO,HOKKAIDO 060,JAPAN
关键词
MSC:; 47A10; 47A55;
D O I
10.1007/BF01299969
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given operators A, B and C, some conditions are given for the existence of an operator X such that the 2 X 2 operator matrix M(X) = ((A C)(X B)) is invertible.
引用
收藏
页码:355 / 361
页数:7
相关论文
共 50 条
  • [11] Idempotent completions of operator partial matrices
    Hou, JC
    Radjavi, H
    Rosenthal, P
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1999, 15 (03): : 333 - 346
  • [12] Idempotent completions of operator partial matrices
    Jinchuan Hou
    Heydar Radjavi
    Peter Rosenthal
    Acta Mathematica Sinica, 1999, 15 : 333 - 346
  • [13] Idempotent Completions of Operator Partial Matrices
    Heydar Radjavi
    Peter Rosenthal
    ActaMathematicaSinica(EnglishSeries), 1999, 15 (03) : 333 - 346
  • [14] ON FREDHOLM COMPLETIONS OF PARTIAL OPERATOR MATRICES
    Hai, Guojun
    Zhang, Nan
    ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (04): : 479 - 489
  • [15] ON WEYL COMPLETIONS OF PARTIAL OPERATOR MATRICES
    Wu, Xiufeng
    Huang, Junjie
    Chen, Alatancang
    ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (02): : 229 - 241
  • [16] On invertible nonnegative Hamiltonian operator matrices
    Guo Hai Jin
    Guo Lin Hou
    Alatancang Chen
    De Yu Wu
    Acta Mathematica Sinica, English Series, 2014, 30 : 1763 - 1774
  • [17] On Invertible Nonnegative Hamiltonian Operator Matrices
    Guo Hai JIN
    Guo Lin HOU
    Alatancang CHEN
    De Yu WU
    ActaMathematicaSinica(EnglishSeries), 2014, 30 (10) : 1763 - 1774
  • [18] On Invertible Nonnegative Hamiltonian Operator Matrices
    Jin, Guo Hai
    Hou, Guo Lin
    Chen, Alatancang
    Wu, De Yu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (10) : 1763 - 1774
  • [19] Complex symmetric completions of partial operator matrices
    Cristina Camara, M.
    Klis-Garlicka, Kamila
    Ptak, Marek
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (08): : 1446 - 1467
  • [20] Applications of Completions of Operator Matrices to Some Properties of Operator Products on Hilbert Spaces
    Xiong, Zhiping
    Liu, Zhongshan
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 123 - 140