Aleman, Alexandru and Constantin, Olivia (2004) Hankel operators on Bergman spaces and similarity to contractions. International Mathematics Research Notices, 2004 (35). pp. 1785-1801. ISSN 1073-7928.
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We consider Foguel-Hankel operators on vector-valued Bergman spaces. Such operators defined on Hardy spaces play a central role in the famous example by Pisier of a polynomially bounded operator which is not similar to a contraction. On Bergman spaces we encounter a completely different behaviour; power boundedness, polynomial boundedness, and similarity to a contraction are all equivalent for this class of operators.
|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:||11 Oct 2012 15:25|
|Last Modified:||20 Feb 2013 14:20|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31564 (The current URI for this page, for reference purposes)|
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