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In this paper we make a connection between the specific class of weighted shifts and general study of k-hyponormality.
We show how the k-hyponormality of an arbitrary operator can be ascertained by examining the k-hyponormality of an associated family of weighted shifts.
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참고문헌 (16)
참고문헌 신청
. G. Douglas / 1989 / Operator theory and algebraic geometry / Bull. Amer. Math. Soc. (N.S.) 20 : 67 ~ 71
A. Athavale / 1988 / On joint hyponormality of operators / Proc. Amer. Math. Soc 103 : 417 ~ 423
A. Lambert / 1976 / Subnormality and weighted shifts / J. London. Math. Soc. 14 : 476 ~ 480
I. B. Jung / 2000 / Cubically hyponormal weighted shifts and their examples / J. Math. Anal. Appl 247 : 557 ~ 569
J. B. Conway / 1988 / Linear combinations of hyponormal oper-ators / Rocky Mountain J. Math 18 : 695 ~ 705
A. Athavale / 1988 / On joint hyponormality of operators / Proc. Amer. Math. Soc 103 : 417 ~ 423
A. Lambert / 1976 / Subnormality and weighted shifts / J. London. Math. Soc. 14 : 476 ~ 480
I. B. Jung / 2000 / Cubically hyponormal weighted shifts and their examples / J. Math. Anal. Appl 247 : 557 ~ 569
J. B. Conway / 1988 / Linear combinations of hyponormal oper-ators / Rocky Mountain J. Math 18 : 695 ~ 705
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