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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.
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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
other publication id
2011:E13
language
English
id
2517790
date added to LUP
2012-09-20 15:35:05
date last changed
2024-10-25 15:08:25
@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}},
}