On some Bergman shift operators
(2012) In Complex Analysis and Operator Theory 6(4). p.829-842- Abstract (Swedish)
- Abstract in Undetermined
An operator identity satisfied by the shift operator in a class of standard weighted Bergman spaces is studied. We show that subject to a pureness condition this operator identity characterizes the associated Bergman shift operator up to unitary equivalence allowing for a general multiplicity. The analysis of the general case makes contact with the class of n-isometries studied by Agler and Stankus.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1668454
- author
- Olofsson, Anders LU and Giselsson, Olof
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Complex Analysis and Operator Theory
- volume
- 6
- issue
- 4
- pages
- 829 - 842
- publisher
- Springer
- external identifiers
-
- wos:000306544200001
- scopus:84864138363
- ISSN
- 1661-8254
- DOI
- 10.1007/s11785-010-0101-6
- language
- English
- LU publication?
- yes
- id
- ff92e73f-e965-42e8-b088-628b07a1499f (old id 1668454)
- date added to LUP
- 2016-04-01 10:42:11
- date last changed
- 2022-01-26 01:41:28
@article{ff92e73f-e965-42e8-b088-628b07a1499f, abstract = {{<b>Abstract in Undetermined</b><br/><br> An operator identity satisfied by the shift operator in a class of standard weighted Bergman spaces is studied. We show that subject to a pureness condition this operator identity characterizes the associated Bergman shift operator up to unitary equivalence allowing for a general multiplicity. The analysis of the general case makes contact with the class of n-isometries studied by Agler and Stankus.}}, author = {{Olofsson, Anders and Giselsson, Olof}}, issn = {{1661-8254}}, language = {{eng}}, number = {{4}}, pages = {{829--842}}, publisher = {{Springer}}, series = {{Complex Analysis and Operator Theory}}, title = {{On some Bergman shift operators}}, url = {{http://dx.doi.org/10.1007/s11785-010-0101-6}}, doi = {{10.1007/s11785-010-0101-6}}, volume = {{6}}, year = {{2012}}, }