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MR2165385 (2006f:47022) 47B20 (47A55 47B37)
Curto, Raúl E.; Lee, Woo Young $k$-hyponormality of finite rank perturbations of unilateral weighted shifts. Trans. Amer. Math. Soc. 357 (2005), no. 12, 4719–4737 (electronic).
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