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arxiv: 1104.4428 · v1 · pith:KNJUNMXJnew · submitted 2011-04-22 · 🧮 math.FA

Normal extensions escape from the class of weighted shifts on directed trees

classification 🧮 math.FA
keywords directednormalweightedshifttreeansweredboundedclass
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A formally normal weighted shift on a directed tree is shown to be a bounded normal operator. The question of whether a normal extension of a subnormal weighted shift on a directed tree can be modeled as a weighted shift on some, possible different, directed tree is answered.

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