k-hyponormality and n-contractivity for Agler-type shifts

Publication Date

2014

Description

We consider k-hyponormality and n-contractivity (k, n = 1, 2, . . .) as “weak subnormalities” for a Hilbert space operator. It is known that khyponormality implies 2k-contractivity; we produce some classes of weighted shifts including a parameter for which membership in a certain n-contractive class is equivalent to k-hyponormality. We consider as well some extensions of these results to operators arising as restrictions of these shifts, or from linear combinations of the Berger measures associated with the shifts.

Journal

Journal of Operator Theory

Volume

71

Issue

2

First Page

585

Last Page

600

Department

Mathematics

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