Normal extensions escape from the class of weighted shifts on directed trees
Functional Analysis
2013-10-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1104.4428,
title = {Normal extensions escape from the class of weighted shifts on directed trees},
author = {Zenon Jan Jablonski and Il Bong Jung and Jan Stochel},
journal= {arXiv preprint arXiv:1104.4428},
year = {2013}
}
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9 pages