Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

Seunghwan Baek; George R. Exner; Il Bong Jung; Chunji Li

Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

Functional Analysis 2016-09-27 v1

Authors: Seunghwan Baek , George R. Exner , Il Bong Jung , Chunji Li

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.

Keywords

weighted shifts semi-cubic hyponormality Stampfli recursive tail backward extension operator theory

Cite

@article{arxiv.1609.07852,
  title  = {Semi-cubic hyponormality of weighted shifts with stampfli recursive tail},
  author = {Seunghwan Baek and George R. Exner and Il Bong Jung and Chunji Li},
  journal= {arXiv preprint arXiv:1609.07852},
  year   = {2016}
}

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28 pages

Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

Abstract

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