Hankel operators on Bergman spaces and similarity to contractions

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

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)
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Olivia Constantin
Date Deposited:	11 Oct 2012 15:25 UTC
Last Modified:	05 Nov 2024 10:14 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/31564 (The current URI for this page, for reference purposes)

University of Kent Author Information

Constantin, Olivia.

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