Aleman, Alexandru, Constantin, Olivia (2004) Hankel operators on Bergman spaces and similarity to contractions. International Mathematics Research Notices, 2004 (35). pp. 1785-1801. ISSN 1073-7928. (doi:10.1155/S1073792804140105) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31564)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1155/S1073792804140105 |
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Abstract
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.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1155/S1073792804140105 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Olivia Constantin |
| Date Deposited: | 11 Oct 2012 15:25 UTC |
| Last Modified: | 20 May 2025 11:35 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/31564 (The current URI for this page, for reference purposes) |
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