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Let $\alpha :1,(1,\sqrt{x},\sqrt{y})^{\wedge }$ be a weight sequence with Stampfli's subnormal completion and let $W_{\alpha }$ be its associated weighted shift. In this paper we discuss some properties of the region $\mathcal{U}:\mathcal{=}\{(x,y):W_{\alpha }$ is semi-cubically hyponormal$\}$ and describe the shape of the boundary of $\mathcal{U}$. In particular, we improve the results of \cite[Theorem 4.2]{LLB}.
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참고문헌 (22)
참고문헌 신청
J. Y. Bae / 2002 / Criteria for positively quadratically hyponormal weighted shifts / Proc. Amer. Math. Soc 130(11):3287~3294
정일봉 / 2016 / On Semi-cubically Hyponormal Weighted Shifts with First Two Equal Weights / Kyungpook Mathematical Journal 56(3):899~910
S. Baek / 2017 / Semi-cubic hyponormality of weighted shifts with Stamp i recursive tail / Inte-gral Equations Operator Theory 88(2):229~248
Y. B. Choi / 2000 / A propagation of quadratically hyponormal weighted shifts / Bull. Korean Math. Soc 37(2):347~352
R. E. Curto / 1990 / Joint hyponormality: a bridge between hyponormality and subnormality, in Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988), 69-91 / Proc. Sympos. Pure Math 51(Part 2)
정일봉 / 2016 / On Semi-cubically Hyponormal Weighted Shifts with First Two Equal Weights / Kyungpook Mathematical Journal 56(3):899~910
S. Baek / 2017 / Semi-cubic hyponormality of weighted shifts with Stamp i recursive tail / Inte-gral Equations Operator Theory 88(2):229~248
Y. B. Choi / 2000 / A propagation of quadratically hyponormal weighted shifts / Bull. Korean Math. Soc 37(2):347~352
R. E. Curto / 1990 / Joint hyponormality: a bridge between hyponormality and subnormality, in Operator theory: operator algebras and applications, Part 2 (Durham, NH, 1988), 69-91 / Proc. Sympos. Pure Math 51(Part 2)
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