Title

k-Hyponormality and n-Contractivity for Agler-Type Shifts

Publication Date

2014

Journal

Journal of Operator Theory

Volume

71

Issue

2

First Page

585

Last Page

600

Abstract

We consider k-hyponormality and n-contractivity (k, n = 1, 2, ...) as "weak subnormalities" for a Hilbert space operator. It is known that k-hyponormality 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.

DOI

10.7900/jot.2012aug08.1965

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