Mathematical Sciences

Lund University

  • Title: On some Bergman shift operators
  • Description: 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.
  • Start Date: March 1, 2011
  • Finished Date: March 1, 2011
  • Supervisor: Anders Olofsson
  • Student: Olof Giselsson
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