Completion of operator partial matrices to projections

被引：6
|
作者：
Hou, JC
机构：
[1] Department of Mathematics, Shanxi Teachers University, Linfen
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 246卷
关键词：
D O I：
10.1016/0024-3795(94)00336-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let H and K be complex Hilbert spaces. For given operators A, B, and C on H,K and from K into H, respectively, necessary and sufficient conditions are obtained for partial matrices ((C)*(?) (C)(B)), ((C)*(?) (?)(C)), and ((A)(?) (?)(B)) to have projection completions. All such completions are also characterized.
引用
收藏
页码：71 / 82
页数：12
相关论文
共 50 条
  • [31] Property (ω) for Operator Matrices
    TIAN Junhong
    CAO Xiaohong
    SUN Chenhui
    WuhanUniversityJournalofNaturalSciences, 2013, 18 (04) : 343 - 347
  • [32] PROPERTIES OF OPERATOR MATRICES
    An, Il Ju
    Ko, Eungil
    Lee, Ji Eun
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (04) : 893 - 913
  • [33] On matrices with operator entries
    Cvetkovic, Ljiljana
    Takaci, Djurdjica
    NUMERICAL ALGORITHMS, 2006, 42 (3-4) : 335 - 344
  • [34] On matrices with operator entries
    Ljiljana Cvetković
    Djurdjica Takači
    Numerical Algorithms, 2006, 42 : 335 - 344
  • [35] ON COMPLETION OF PARTIAL ALGEBRAS
    BURMEISTER, P
    SCHMIDT, J
    COLLOQUIUM MATHEMATICUM, 1967, 17 (02) : 235 - +
  • [36] Partial Matrix Completion
    Hazan, Elad
    Kalai, Adam Tauman
    Kanade, Varun
    Mohri, Clara
    Sun, Y. Jennifer
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [37] Operator Matrices as Generators of Cosine Operator Functions
    Delio Mugnolo
    Integral Equations and Operator Theory, 2006, 54 : 441 - 464
  • [38] Operator matrices as generators of cosine operator functions
    Mugnolo, D
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (03) : 441 - 464
  • [39] THE REGULAR COMPLETION OF A C*-ALGEBRA WITH LARGE PROJECTIONS
    Saito, Kazuyuki
    QUARTERLY JOURNAL OF MATHEMATICS, 2019, 70 (03): : 999 - 1007
  • [40] Minimal completion ofIxIdoubly substochastic matrices
    Bayati Eshkaftaki, Ali
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (11): : 2065 - 2077
12345