Title

On Semi-Cubically Hyponormal Operators with First Two Equal Weights

Publication Date

2016

Journal

Kyungpook Mathematicsl Journal

Volume

56

First Page

899

Last Page

910

Abstract

It is known that a semi-cubically hyponormal weighted shift need not satisfy the flatness property, in which equality of two weights forces all or almost all weights to be equal. So it is a natural question to describe all semi-cubically hyppnormal weighted shifts with the first two weights equal. In this paper we characterize completely the semi-cubical hyponormal shifts satisfying the additional assumption of the positive determinant coefficient property, yielding results parallel to those for quadratic hyponormality.

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