2012-08
AUTHORSOlof Giselsson, Anders Olofsson
ABSTRACTAn 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. More... »
PAGES829-842
http://scigraph.springernature.com/pub.10.1007/s11785-010-0101-6
DOIhttp://dx.doi.org/10.1007/s11785-010-0101-6
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