Subnormal weighted shifts on directed trees whose nth powers have trivial domain
Functional Analysis
2014-09-30 v1
Abstract
It is shown that for any positive integer n there exists a subnormal weighted shift on a directed tree whose nth power is closed and densely defined while its (n + 1)th power has trivial domain. Similar result for composition operators in L2-spaces is established.
Keywords
Cite
@article{arxiv.1409.8022,
title = {Subnormal weighted shifts on directed trees whose nth powers have trivial domain},
author = {Piotr Budzynski and Zenon Jan Jablonski and Il Bong Jung and Jan Stochel},
journal= {arXiv preprint arXiv:1409.8022},
year = {2014}
}
Comments
13 pages, 1 figure