Analytic structure of weighted shifts on directed trees
Functional Analysis
2018-09-06 v2
Abstract
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operators in question.
Keywords
Cite
@article{arxiv.1510.03828,
title = {Analytic structure of weighted shifts on directed trees},
author = {Piotr Budzynski and Piotr Dymek and Marek Ptak},
journal= {arXiv preprint arXiv:1510.03828},
year = {2018}
}