Invariant subspaces for commuting contractions

被引：0
作者：
Eschmeier, J [1 ]
机构：
[1] Univ Saarland, Fachbereich Chem, D-66041 Saarbrucken, Germany
来源：
JOURNAL OF OPERATOR THEORY | 2001年 / 45卷 / 02期
关键词：
invariant subspaces; commuting contractions; Harte spectrum; dual operator algebras; Henkin measures;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is Shown that each finite commuting system of contractions which possesses a unitary dilation and for which the Harte spectrum is dominating in the open unit polydisc possesses non-trivial joint invariant subspaces. Since by a well-known result of Ando each commuting pair of contractions admits a unitary dilation, we obtain in particular that each commuting pair of contractions with dominating Harte spectrum in the bidisc possesses non-trivial joint invariant subspaces.
引用
收藏
页码：413 / 443
页数：31
相关论文
共 50 条
  • [41] Perturbations of invariant subspaces of compact Operators
    Gil M.
    Acta Scientiarum Mathematicarum, 2016, 82 (1-2): : 271 - 279
  • [42] Near-invariant subspaces for matrix groups are nearly invariant
    Mastnak, Mitja
    Omladic, Matjaz
    Radjavi, Heydar
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 505 : 269 - 281
  • [43] Invariant subspaces for polynomially bounded operators
    Ambrozie, C
    Müller, V
    JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 213 (02) : 321 - 345
  • [44] Invariant Subspaces of Idempotents on Hilbert Spaces
    Neeru Bala
    Nirupam Ghosh
    Jaydeb Sarkar
    Integral Equations and Operator Theory, 2023, 95
  • [45] INVARIANT AND HYPERINVARIANT SUBSPACES FOR AMENABLE OPERATORS
    Shi, Luo Yi
    Wu, Yu Jing
    JOURNAL OF OPERATOR THEORY, 2013, 69 (01) : 87 - 100
  • [46] Bounded Sequences, Orbits and Invariant Subspaces
    Drissi, Driss
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2010, 4 (04) : 813 - 819
  • [47] Two Types of Invariant Subspaces in the Polydisc
    Beyaz Başak Koca
    Results in Mathematics, 2017, 71 : 1297 - 1305
  • [48] Invariant Subspaces of Idempotents on Hilbert Spaces
    Bala, Neeru
    Ghosh, Nirupam
    Sarkar, Jaydeb
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2023, 95 (01)
  • [49] Monomial codes seen as invariant subspaces
    Isabel Garcia-Planas, Maria
    Dolors Magret, Maria
    Emilie Um, Laurence
    OPEN MATHEMATICS, 2017, 15 : 1099 - 1107
  • [50] INVARIANT SUBSPACES OF THE DIRICHLET SHIFT AND PSEUDOCONTINUATIONS
    RICHTER, S
    SUNDBERG, C
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 341 (02) : 863 - 879
12345