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

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

2011-04-22

arxiv.org/abs/1104.4428v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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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