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http://dx.doi.org/10.14317/jami.2022.015

THE QUADRATIC HYPONORMALITY OF ONE-STEP EXTENSION OF THE BERGMAN-TYPE SHIFT  

LI, CHUNJI (Department of Mathematics, Northeastern University)
QI, WENTAO (Department of Mathematics, Zhejiang University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 15-24 More about this Journal
Abstract
Let p > 1 and α[p](x) : $\sqrt{x}$, $\sqrt{\frac{p}{^2p-1}}$, $\sqrt{\frac{2p-1}{3p-2}}$, … , with 0 < x ≤ $\frac{p}{2p-1}$. In [10], the authors considered the subnormality, n-hyponormality and positive quadratic hyponormality of Wα[p](x). By continuing to study, in this paper, we give a sufficient condition of quadratic hyponormality of Wα[p](x). Finally, we give an example to characterize the gaps of Wα[p](x) distinctively.
Keywords
Positive quadratically hyponormal; quadratically hyponormal; unilateral weighted shift;
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Times Cited By KSCI : 1  (Citation Analysis)
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