• Communications of the Korean Mathematical Society
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• v.26 no.1
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• pp.79-88
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• 2011

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

• Journal of the Chungcheong Mathematical Society
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• v.35 no.1
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• pp.25-31
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• 2022

Let α = {α_n}^∞_n=0 be a weight sequence and let W_α denote the associated unilateral weighted shift on 𝑙²(Z₊). In this paper we will investigate which weighted shift is M-hyponormal.