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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.
Please use this url to cite or link to this publication:
author
and
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
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}},
}