Semi-cubic hyponormality of weighted shifts with stampfli recursive tail

2016/09/26 by Seunghwan Baek, Baek, Seunghwan, George R. Exner +5
Mathematics · #47B20 #47B36 #47B37 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47B20 #msc:47B36 #msc:47B37

paper · pdf · doi:10.48550/arxiv.1609.07852

28 pages

arxiv created 2016/09/26 · arxiv updated 2016/09/27

Abstract

Let α:√x_m,⋯ ,√x₁,(√(u),√(v),√(w)% )^\wedge be a backward m-step extension of a recursive weight sequence and let % W_α be the weighted shift associated with α. In this paper we characterize the semi-cubic hyponormality of W_α having the positive determinant coefficient property and discuss some related examples.

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