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MR2120281 (2005j:47025) 47B20 (47B37)
Curto, Raúl E.; Lee, Sang Hoon; Lee, Woo Young A new criterion for $k$-hyponormality via weak subnormality. Proc. Amer. Math. Soc. 133 (2005), no. 6, 1805–1816 (electronic).
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