Title

Backward 3-step extensions of recursively generated weighted shifts

Publication Date

2014

Journal

Bulletin of the Australian Mathematical Society

Volume

79

First Page

88

Last Page

93

Abstract

Let alpha: 1, 1, sqrt{x}, (sqrt{u}, sqrt{v}, sqrt{w})^ 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 be the associated weighted shift with weight sequence . 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].

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