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 On rank one perturbations of the unilateral shift Commun. Korean Math. Soc. 2011 Vol. 26, No. 1, 79-88 https://doi.org/10.4134/CKMS.2011.26.1.79Published online 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 Downloads: Full-text PDF