Analytic structure of weighted shifts on directed trees

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.

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Bibliographic Details
Published in:arXiv.org 2015-10
Main Authors: Budzynski, Piotr, Dymek, Piotr, Ptak, Marek
Format: Article
Language:English
Subjects:
Analytic functions
Mathematical analysis
Operators (mathematics)
Polytrees
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1510.03828