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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 899 - 910 (12page)
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It is known that a semi-cubically hyponormal weighted shift need not satisfythe flatness property, in which equality of two weights forces all or almost all weights to be equal.
So it is a natural question to describe allsemi-cubically hyponormal weighted shifts $W_{\alpha }$ with first two weights equal.
Let $\alpha :1,1,\sqrt{x},(\sqrt{u},\sqrt{v},\sqrt{w})^{\wedge }$be a backward 3-step extension of a recursively generated weight sequencewith $1<x<u<v<w$ and let $W_{\alpha }$ be the associated weighted shift.
In this paper we characterize completely thesemi-cubical hyponormal $W_{\alpha }$ satisfying the additional assumption of thepositive determinantcoefficient property, which result is parallel to results for quadratichyponormality.
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참고문헌 (21)
참고문헌 신청
J. Y. Bae / 2002 / Criteria for positively quadratically hyponormal weighted shifts / Proc. Amer. Math. Soc. 130:3287~3294
J. Bram / 1955 / Subnormal operators / Duke Math. J. 22:75~94
Y. B. Choi / 2000 / A propagation of quadratically hyponormal weighted shifts / Bull. Korean Math. Soc. 37:347~352
R. Curto / 1990 / Quadratically hyponormal weighted shifts / Integral Equations Operator Theory 13:49~66
R. Curto / 1993 / Recursively generated weighted shifts and the subnormal completion problem / Integral Equations Operator Theory 17:202~246
J. Bram / 1955 / Subnormal operators / Duke Math. J. 22:75~94
Y. B. Choi / 2000 / A propagation of quadratically hyponormal weighted shifts / Bull. Korean Math. Soc. 37:347~352
R. Curto / 1990 / Quadratically hyponormal weighted shifts / Integral Equations Operator Theory 13:49~66
R. Curto / 1993 / Recursively generated weighted shifts and the subnormal completion problem / Integral Equations Operator Theory 17:202~246
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