BACKWARD 3-STEP EXTENSIONS OF RECURSIVELY GENERATED WEIGHTED SHIFTS: A RANGE OF QUADRATIC HYPONORMALITY
2013 ◽
Vol 89
(3)
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pp. 488-493
Keyword(s):
AbstractLet $\alpha : 1, 1, \sqrt{x} , \mathop{( \sqrt{u} , \sqrt{v} , \sqrt{w} )}\nolimits ^{\wedge } $ be a backward 3-step extension of a recursively generated weighted sequence of positive real numbers with $1\leq x\leq u\leq v\leq w$ and let ${W}_{\alpha } $ be the associated weighted shift with weight sequence $\alpha $. The set of positive real numbers $x$ such that ${W}_{\alpha } $ is quadratically hyponormal for some $u, v$ and $w$ is described, solving an open problem due to Curto and Jung [‘Quadratically hyponormal weighted shifts with two equal weights’, Integr. Equ. Oper. Theory 37 (2000), 208–231].
2019 ◽
Vol 29
(08)
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pp. 1950110
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2018 ◽
Vol 7
(1)
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pp. 77-83
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2009 ◽
Vol 2009
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pp. 1-11
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Keyword(s):
2014 ◽
Vol 33
(2)
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pp. 59-67
Keyword(s):
2019 ◽
Vol 26
(1/2)
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pp. 41-55
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