Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

Abstract

Let $\alpha :\sqrt{x_m},\cdots ,\sqrt{x_1},(\sqrt{u},\sqrt{v},\sqrt{w}$ be a backward $m$-step extension of a recursive weight sequence and let 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.

28 pages