Operator matrices in class Cρ

被引：2
|
作者：
Cassier, G.
Zerouali, E. H.
机构：
[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France
[2] Fac Sci Rabat, Dept Math & Informat, Rabat, Morocco
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 420卷 / 2-3期
关键词：
operator matrices; strict rho-contraction; rho-kernel; invariant subspaces;
D O I：
10.1016/j.laa.2006.08.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We devote this note to the study of strict p-contractions. We characterize such operators in term on their restriction and quotient on some invariant subspace. Several special cases are discussed and some results in the scalar case are retrieved. (c) 2006 Published by Elsevier Ire.
引用
收藏
页码：361 / 376
页数：16
相关论文
共 50 条
  • [1] THE SPECTRAL COMPLETION OF A CLASS OF OPERATOR PARTIAL MATRICES
    CUI Jianlian (Institute of Mathematics
    GAO Mingchu (Department of Mathematics
    [J]. Journal of Systems Science & Complexity, 2000, (04) : 358 - 365
  • [2] Weyl Type Theorems for a Class of Operator Matrices
    Zhang, Weihong
    Hai, Guojun
    Chen, Alatancang
    [J]. FILOMAT, 2022, 36 (06) : 2063 - 2071
  • [3] On a Class of Block Operator Matrices in System Theory
    Sascha Trostorff
    [J]. Complex Analysis and Operator Theory, 2017, 11 : 947 - 960
  • [4] A Class of Schur Multipliers of Matrices with Operator Entries
    Blasco, Oscar
    Garcia-Bayona, Ismael
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (04)
  • [5] ON A CLASS OF OPERATOR MATRICES PERMITTING EQUIPARTITION OF ENERGY
    PICARD, R
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (10) : 1083 - 1109
  • [6] On a Class of Block Operator Matrices in System Theory
    Trostorff, Sascha
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (04) : 947 - 960
  • [7] Spectral enclosures for a class of block operator matrices
    Giribet, Juan
    Langer, Matthias
    Martinez Peria, Francisco
    Philipp, Friedrich
    Trunk, Carsten
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (10)
  • [8] A Class of Schur Multipliers of Matrices with Operator Entries
    Oscar Blasco
    Ismael García-Bayona
    [J]. Mediterranean Journal of Mathematics, 2019, 16
  • [9] On C-Normal Operator Matrices
    Ko, Eungil
    Lee, Ji Eun
    Lee, Mee-Jung
    [J]. RESULTS IN MATHEMATICS, 2024, 79 (05)
  • [10] Continuity of the spectrum on a class of upper triangular operator matrices
    Duggal, B. P.
    Jeon, I. H.
    Kim, I. H.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 584 - 587
12345