A joint similarity problem for n-tuples of operators on vector-valued Bergman spaces

被引：1
|
作者：
Constantin, Olivia [1 ]
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 08期
关键词：
Hankel operators; Vector-valued Bergman spaces; Joint polynomial boundedness; Joint similarity to an n-tuple of contractions; POLYNOMIALLY BOUNDED OPERATOR; HILBERT-SPACE;
D O I：
10.1016/j.jfa.2009.10.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate n-tuples of commuting Foias-Williams/Peller type operators acting on vector-valued weighted Bergman spaces. We prove that a commuting n-tuple of such operators is jointly (completely) polynomially bounded if and only if it is similar to an n-tuple of contractions, if and only if each of the it operators is polynomially bounded. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2682 / 2694
页数：13
相关论文
共 50 条
  • [41] Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces
    Chavan, Sameer
    Podder, Shubhankar
    Trivedi, Shailesh
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (02) : 1337 - 1358
  • [42] Applications of Kato's inequality for n-tuples of operators in Hilbert spaces, (II)
    Dragomir, Sever S.
    Cho, Yeol Je
    Kim, Young-Ho
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [43] Applications of Kato's inequality for n-tuples of operators in Hilbert spaces, (I)
    Dragomir, Sever S.
    Cho, Yeol Je
    Kim, Young-Ho
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [44] A Functional Calculus for n-Tuples of Noncommuting Operators
    Colombo, Fabrizio
    Sabadini, Irene
    Struppa, Daniele C.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (02) : 225 - 236
  • [45] Joint subnormality of n-tuples and C0-semigroups of composition operators on L2-spaces
    Budzynski, Piotr
    Stochel, Jan
    STUDIA MATHEMATICA, 2007, 179 (02) : 167 - 184
  • [46] Vector-Valued Kernels of Bergman Type
    Jerry R. Muir
    Complex Analysis and Operator Theory, 2018, 12 : 1791 - 1816
  • [47] QUASIANALYTIC n-TUPLES OF HILBERT SPACE OPERATORS
    Kerchy, Laszlo
    JOURNAL OF OPERATOR THEORY, 2019, 81 (01) : 3 - 20
  • [48] SOME CLASSES OF COMMUTING N-TUPLES OF OPERATORS
    CHO, M
    TAKAGUCHI, M
    STUDIA MATHEMATICA, 1984, 80 (03) : 245 - 259
  • [49] A Functional Calculus for n-Tuples of Noncommuting Operators
    Fabrizio Colombo
    Irene Sabadini
    Daniele C. Struppa
    Advances in Applied Clifford Algebras, 2009, 19 : 225 - 236
  • [50] Vector-Valued Kernels of Bergman Type
    Muir, Jerry R., Jr.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (08) : 1791 - 1816
12345