School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Hyponormality for commuting pairs of operators

Document Type

Article

Publication Date

2-15-2016

Abstract

In this paper we study propagation phenomena for mono-weakly hyponormal 2-variable weighted shifts. Next, we describe the positivity and determinant of an immediate ancestor of the classical Hilbert matrix. Finally, using its positivity, we construct a family of examples which shows and elucidates the gap between k-hyponormality and (k+1) -hyponormality for commuting pairs of operators for each k≥1. .

Comments

Under an Elsevier user license

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2015.09.058

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