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Quadratically hyponormal weighted shifts with two equal weights
Journal article   Peer reviewed

Quadratically hyponormal weighted shifts with two equal weights

Raúl Curto and Il Jung
Integral Equations and Operator Theory, Vol.37(2), pp.208-231
06/2000
DOI: 10.1007/BF01192423

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Abstract

We present an extensive analysis ofpositively quadratically hyponormal weighted shiftsW α with α0 = α1 = 1. Our main result states that such weighted shifts abound! Specifically, by focusing on recursively generated weighted shifts of the form , we establish that the planar set is positively quadratically hyponormal} is a closed convex, set with nonempty interior. In addition, we are able to describe in detail the boundary of $$\mathcal{R}$$
Secondary 47-04, 47A57 Mathematics Primary 47B37, 47B20 Analysis

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