On rank one perturbations of the unilateral shift
Commun. Korean Math. Soc. 2011 Vol. 26, No. 1, 79-88
Printed March 1, 2011
Eungil Ko and Ji Eun Lee
Ewha Women's University, Ewha Women's University
Abstract : 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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