Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2011; 26(1): 79-88

Printed March 1, 2011

https://doi.org/10.4134/CKMS.2011.26.1.79

Copyright © The Korean Mathematical Society.

On rank one perturbations of the unilateral shift

Eungil Ko and Ji Eun Lee

Ewha Women's University, Ewha Women's University

Abstract

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In this paper we study some properties of rank one perturbations of the unilateral shift operators $T=S+ u\otimes v$. In particular, we give some criteria for eigenvalues of $T$. Also we characterize some conditions for $T$ to be hyponormal.

Keywords: rank one perturbation, the unilateral shift and hyponormal operator

MSC numbers: Primary 47A11; Secondary 47A10

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