NDLI: On Some Bergman Shift Operators

Content Provider	Springer Nature Link
Author	Giselsson, Olof Olofsson, Anders
Copyright Year	2010
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.
Starting Page	829
Ending Page	842
Page Count	14
File Format	PDF
ISSN	16618254
Journal	Complex Analysis and Operator Theory
Volume Number	6
Issue Number	4
e-ISSN	16618262
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-07-27
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bergman shift operator Wold decomposition Invariant subspace n-Isometry Operators in reproducing-kernel Hilbert spaces Invariant subspaces Hilbert spaces with reproducing kernels Analysis Operator Theory Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Theory and Mathematics Computational Mathematics

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On Some Bergman Shift Operators