On some Bergman shift operators
(2012) In Master's Theses in Mathematical Sciences MATM01 20111Mathematics (Faculty of Sciences)
- Abstract
- 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:
http://lup.lub.lu.se/student-papers/record/2517790
- author
- Giselsson, Olof
- supervisor
- organization
- course
- MATM01 20111
- year
- 2012
- type
- H2 - Master's Degree (Two Years)
- subject
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUNFMA-3062-2011
- ISSN
- 1404-6342
- language
- English
- id
- 2517790
- date added to LUP
- 2012-09-20 15:35:05
- date last changed
- 2013-01-18 19:13:26
@misc{2517790, abstract = {{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 = {{Giselsson, Olof}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master's Theses in Mathematical Sciences}}, title = {{On some Bergman shift operators}}, year = {{2012}}, }