Advanced

On some Bergman shift operators

Giselsson, Olof (2012) In Master's Theses in Mathematical Sciences MATM01 20111
Mathematics (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:
author
Giselsson, Olof
supervisor
organization
course
MATM01 20111
year
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},
}