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Main Authors: Baranov, Anton, Lishanskii, Andrei, Papathanasiou, Dimitris
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.13934
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author Baranov, Anton
Lishanskii, Andrei
Papathanasiou, Dimitris
author_facet Baranov, Anton
Lishanskii, Andrei
Papathanasiou, Dimitris
contents Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study hypercyclicity of the corresponding backward shifts.
format Preprint
id arxiv_https___arxiv_org_abs_2312_13934
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hypercyclic shifts on lattice graphs
Baranov, Anton
Lishanskii, Andrei
Papathanasiou, Dimitris
Functional Analysis
Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study hypercyclicity of the corresponding backward shifts.
title Hypercyclic shifts on lattice graphs
topic Functional Analysis
url https://arxiv.org/abs/2312.13934