Title of article
A joint similarity problem for n-tuples of operators on vector-valued Bergman spaces
Author/Authors
Olivia Constantin ?، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
13
From page
2682
To page
2694
Abstract
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 n
operators is polynomially bounded.
© 2009 Elsevier Inc. All rights reserved
Keywords
Hankel operators , Vector-valued Bergman spaces , Joint polynomial boundedness , Joint similarity to ann-tuple of contractions
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840151
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