School of Mathematical & Statistical Sciences Faculty Publications

When does the k-hyponormality of a 2-variable weighted shift become subnormality?

Document Type

Article

Publication Date

7-15-2011

Abstract

In this article we construct a sequence of nontrivial classes of 2-variable weighted shifts {Gk}k=2 such that the k-hyponormality of an arbitrary power of a member W(α,β) from Gk is equivalent to its subnormality.

Comments

© 2011 Elsevier Inc.

First Page

487

Last Page

498

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2011.01.031

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