Some characterizations of disjoint topological transitivity on Orlicz spaces

In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient condition and a necessary condition for powers of weighted tran...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Chung-Chuan, Du, Wei-Shih
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5902546/
https://www.ncbi.nlm.nih.gov/pubmed/29706743
http://dx.doi.org/10.1186/s13660-018-1681-3
_version_ 1783314775215702016
author Chen, Chung-Chuan
Du, Wei-Shih
author_facet Chen, Chung-Chuan
Du, Wei-Shih
author_sort Chen, Chung-Chuan
collection PubMed
description In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient condition and a necessary condition for powers of weighted translations to be disjoint topologically transitive are obtained as well.
format Online
Article
Text
id pubmed-5902546
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-59025462018-04-24 Some characterizations of disjoint topological transitivity on Orlicz spaces Chen, Chung-Chuan Du, Wei-Shih J Inequal Appl Research In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient condition and a necessary condition for powers of weighted translations to be disjoint topologically transitive are obtained as well. Springer International Publishing 2018-04-16 2018 /pmc/articles/PMC5902546/ /pubmed/29706743 http://dx.doi.org/10.1186/s13660-018-1681-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Chen, Chung-Chuan
Du, Wei-Shih
Some characterizations of disjoint topological transitivity on Orlicz spaces
title Some characterizations of disjoint topological transitivity on Orlicz spaces
title_full Some characterizations of disjoint topological transitivity on Orlicz spaces
title_fullStr Some characterizations of disjoint topological transitivity on Orlicz spaces
title_full_unstemmed Some characterizations of disjoint topological transitivity on Orlicz spaces
title_short Some characterizations of disjoint topological transitivity on Orlicz spaces
title_sort some characterizations of disjoint topological transitivity on orlicz spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5902546/
https://www.ncbi.nlm.nih.gov/pubmed/29706743
http://dx.doi.org/10.1186/s13660-018-1681-3
work_keys_str_mv AT chenchungchuan somecharacterizationsofdisjointtopologicaltransitivityonorliczspaces
AT duweishih somecharacterizationsofdisjointtopologicaltransitivityonorliczspaces

Ejemplares similares