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

页码：2682 / 2694

页数：13

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