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In this paper we give an example which is a weakly subnormal weighted shift but not 2-hyponormal. Also, we show that every partially normal extension of an isometry $T$ needs not be 2-hyponormal even though $\text{p.n.e.}(T)$ is weakly subnormal.
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참고문헌 (7)
참고문헌 신청
J. Bram / 1955 / Subnormal operators / Duke Math. J 22 : 75 ~ 94
J. Conway / 1991 / Amer. Math. Soc. / Providence
R. Curto / / A new criterion for k-hyponormality via weak subnormality / Proc. Amer. Math. Soc
R. Curto / 1988 / Hyponormal pairs of commuting operators / Op-erator Theory: Adv. Appl 35 : 1 ~ 22
R.E. Curto / 1990 / Quadratically hyponormal weighted shifts / Integral Equations Oper-ator Theory 13 : 49 ~ 66
J. Conway / 1991 / Amer. Math. Soc. / Providence
R. Curto / / A new criterion for k-hyponormality via weak subnormality / Proc. Amer. Math. Soc
R. Curto / 1988 / Hyponormal pairs of commuting operators / Op-erator Theory: Adv. Appl 35 : 1 ~ 22
R.E. Curto / 1990 / Quadratically hyponormal weighted shifts / Integral Equations Oper-ator Theory 13 : 49 ~ 66
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