On some Bergman shift operators
Författare
Summary, in 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.
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.
Avdelning/ar
Publiceringsår
2012
Språk
Engelska
Sidor
829-842
Publikation/Tidskrift/Serie
Complex Analysis and Operator Theory
Volym
6
Issue
4
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1661-8254