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On some Bergman shift operators

Olofsson, Anders LU and Giselsson, Olof (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.
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author
organization
publishing date
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
2010-09-10 12:56:18
date last changed
2017-03-26 03:15:49
@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},
  volume       = {6},
  year         = {2012},
}