Constantin, Olivia and Jaeck, Frederic (2009) A joint similarity problem on vector-valued Bergman spaces. Journal of Functional Analysis, 256 (9). pp. 2768-2779. ISSN 0022-1236.
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We investigate pairs of commuting Foias–Williams/Peller type operators acting on vector-valued weighted Bergman spaces. We prove that a commuting pair of such operators is jointly polynomially bounded if and only if it is similar to a pair of contractions, if and only if both operators are polynomially bounded.
|Uncontrolled keywords:||Hankel operators; Joint polynomial boundedness; Joint similarity to a pair of contractions; Vector-valued Bergman spaces|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Olivia Constantin|
|Date Deposited:||05 Oct 2012 11:11|
|Last Modified:||25 Jan 2013 15:27|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31289 (The current URI for this page, for reference purposes)|
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