On Some Bergman Shift Operators View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2012-08

AUTHORS

Olof Giselsson, Anders Olofsson

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. More... »

PAGES

829-842

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11785-010-0101-6

DOI

http://dx.doi.org/10.1007/s11785-010-0101-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010734469


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