Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2014; 51(4): 1031-1040

Printed July 1, 2014

https://doi.org/10.4134/BKMS.2014.51.4.1031

Copyright © The Korean Mathematical Society.

A note on cubically hyponormal weighted shifts

Chunji Li, Muneo Ch\={o}, and Mi Ryeong Lee

Northeastern University, Kanagawa University, Catholic University of Daegu

Abstract

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In this paper, we show that any cubically hyponormal weighted shift with first two equal weights is flat. And we give an example of a weighted shift which is not cubically hyponormal but almost-cubically hyponormal.

Keywords: weighted shift, cubically hyponormal operator, flatness

MSC numbers: Primary 47B37; Secondary 47B20

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