On Semi-Cubically Hyponormal Operators with First Two Equal Weights

Authors

George R. Exner, Bucknell UniversityFollow
Seunghwan Baek, Kyungpook National UniversityFollow
Il Bong Jung, Kyungpook National UniversityFollow
Chunji Li, Northeastern University ChinaFollow

Publication Date

2016

Description

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.

Journal

Kyungpook Mathematicsl Journal

Volume

56

First Page

899

Last Page

910

Department

Mathematics

Recommended Citation

Exner, George R.; Baek, Seunghwan; Jung, Il Bong; and Li, Chunji. "On Semi-Cubically Hyponormal Operators with First Two Equal Weights." Kyungpook Mathematicsl Journal (2016) : 899-910.