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MR1974333 (2004k:47044) 47B20 (47A13 47B37)
Curto, Raúl; Park, Sang Soo $k$-hyponormality of powers of weighted shifts via Schur products. Proc. Amer. Math. Soc. 131 (2003), no. 9, 2761–2769.
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