School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Flat phenomena of 2-variable weighted shifts

Document Type

Article

Publication Date

12-2015

Abstract

We study the class of mono-weakly 2-hyponormal 2-variable weighted shifts T≡(T1,T2) (resp. hyponormal with quadratically hyponormal T1 and T2 ) with two consecutive equal weights in the weight sequence of each of the coordinate operators. We show that under natural assumptions on the coordinate operators, the presence of consecutive equal weights in T1 and T2 leads to the flatness, in a way that resembles the situation for 1-variable weighted shifts.

Comments

Under an Elsevier user license

Publication Title

Linear Algebra and its Applications

DOI

10.1016/j.laa.2015.08.010

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