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arXiv · 1609.07852

Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

Seunghwan Baek·George R. Exner·Il Bong Jung·Chunji Li
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Abstract

Let $\alpha :\sqrt{x_{m}},\cdots ,\sqrt{x_{1}},(\sqrt{u},\sqrt{v},\sqrt{w}% )^{\wedge}$ be a backward $m$-step extension of a recursive weight sequence and let $% W_{\alpha }$ be the weighted shift associated with $\alpha $. In this paper we characterize the semi-cubic hyponormality of $W_{\alpha }$ having the positive determinant coefficient property and discuss some related examples.

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Seunghwan Baek, George R. Exner, Il Bong Jung, Chunji Li. 2016-09-26. Semi-cubic hyponormality of weighted shifts with stampfli recursive tail. https://arxiv.org/abs/1609.07852

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