Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disj...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Iranian journal of science (Online) 2023-06, Vol.47 (3), p.951-959
1. Verfasser: Chen, Chung-Chuan
Format: Artikel
Sprache:eng
Schlagworte:
Operators
Trigonometric functions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 959
container_issue 3
container_start_page 951
container_title Iranian journal of science (Online)
container_volume 47
creator Chen, Chung-Chuan
description In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disjoint topologically transitive and disjoint topologically mixing are given as well.
doi_str_mv 10.1007/s40995-023-01459-x
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2816033676</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2816033676</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-49fb3e86316caadc0f529bb9727f405f528376c4fc750bc1ce97779dbef4ac8b3</originalsourceid><addsrcrecordid>eNpNkE1LAzEURYMoWGr_gKuA6-hLMjOZLKV-QqWgFdyFTJpISpyMyYy0_npHq-Dq3QeHe-EgdErhnAKIi1yAlCUBxgnQopRke4AmTHBKagry8C-DLI_RLOcNAHBGpeT1BL2sYhdDfPVGh7DDD0PofRcsfrRmSMm2xmLdrvGVz5vo2x7_w_Eq6Tb73n_4fodji5cpePOJnzptbD5BR06HbGe_d4qeb65X8zuyWN7ezy8XxHAqe1JI13BbV5xWRuu1AVcy2TRSMOEKKMev5qIyhTOihMZQY6UQQq4b6wpt6oZP0dm-t0vxfbC5V5s4pHacVKymFXBeiWqk2J4yKeacrFNd8m867RQF9S1R7SWqUaL6kai2_Auj8WaX</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2816033676</pqid></control><display><type>article</type><title>Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces</title><source>Alma/SFX Local Collection</source><source>SpringerLink Journals - AutoHoldings</source><creator>Chen, Chung-Chuan</creator><creatorcontrib>Chen, Chung-Chuan</creatorcontrib><description>In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disjoint topologically transitive and disjoint topologically mixing are given as well.</description><identifier>ISSN: 2731-8095</identifier><identifier>ISSN: 1028-6276</identifier><identifier>EISSN: 2731-8109</identifier><identifier>EISSN: 2364-1819</identifier><identifier>DOI: 10.1007/s40995-023-01459-x</identifier><language>eng</language><publisher>Shiraz: Springer Nature B.V</publisher><subject>Operators ; Trigonometric functions</subject><ispartof>Iranian journal of science (Online), 2023-06, Vol.47 (3), p.951-959</ispartof><rights>The Author(s), under exclusive licence to Shiraz University 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-49fb3e86316caadc0f529bb9727f405f528376c4fc750bc1ce97779dbef4ac8b3</citedby><cites>FETCH-LOGICAL-c319t-49fb3e86316caadc0f529bb9727f405f528376c4fc750bc1ce97779dbef4ac8b3</cites><orcidid>0000-0003-4297-3305</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Chen, Chung-Chuan</creatorcontrib><title>Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces</title><title>Iranian journal of science (Online)</title><description>In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disjoint topologically transitive and disjoint topologically mixing are given as well.</description><subject>Operators</subject><subject>Trigonometric functions</subject><issn>2731-8095</issn><issn>1028-6276</issn><issn>2731-8109</issn><issn>2364-1819</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNpNkE1LAzEURYMoWGr_gKuA6-hLMjOZLKV-QqWgFdyFTJpISpyMyYy0_npHq-Dq3QeHe-EgdErhnAKIi1yAlCUBxgnQopRke4AmTHBKagry8C-DLI_RLOcNAHBGpeT1BL2sYhdDfPVGh7DDD0PofRcsfrRmSMm2xmLdrvGVz5vo2x7_w_Eq6Tb73n_4fodji5cpePOJnzptbD5BR06HbGe_d4qeb65X8zuyWN7ezy8XxHAqe1JI13BbV5xWRuu1AVcy2TRSMOEKKMev5qIyhTOihMZQY6UQQq4b6wpt6oZP0dm-t0vxfbC5V5s4pHacVKymFXBeiWqk2J4yKeacrFNd8m867RQF9S1R7SWqUaL6kai2_Auj8WaX</recordid><startdate>20230601</startdate><enddate>20230601</enddate><creator>Chen, Chung-Chuan</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-4297-3305</orcidid></search><sort><creationdate>20230601</creationdate><title>Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces</title><author>Chen, Chung-Chuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-49fb3e86316caadc0f529bb9727f405f528376c4fc750bc1ce97779dbef4ac8b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Operators</topic><topic>Trigonometric functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Chung-Chuan</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Iranian journal of science (Online)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Chung-Chuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces</atitle><jtitle>Iranian journal of science (Online)</jtitle><date>2023-06-01</date><risdate>2023</risdate><volume>47</volume><issue>3</issue><spage>951</spage><epage>959</epage><pages>951-959</pages><issn>2731-8095</issn><issn>1028-6276</issn><eissn>2731-8109</eissn><eissn>2364-1819</eissn><abstract>In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disjoint topologically transitive and disjoint topologically mixing are given as well.</abstract><cop>Shiraz</cop><pub>Springer Nature B.V</pub><doi>10.1007/s40995-023-01459-x</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0003-4297-3305</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 2731-8095
ispartof Iranian journal of science (Online), 2023-06, Vol.47 (3), p.951-959
issn 2731-8095
1028-6276
2731-8109
2364-1819
language eng
recordid cdi_proquest_journals_2816033676
source Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings
subjects Operators
Trigonometric functions
title Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T15%3A09%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Topologically%20Multiple%20Recurrence%20and%20Disjoint%20Topological%20Transitivity%20on%20Orlicz%20Spaces&rft.jtitle=Iranian%20journal%20of%20science%20(Online)&rft.au=Chen,%20Chung-Chuan&rft.date=2023-06-01&rft.volume=47&rft.issue=3&rft.spage=951&rft.epage=959&rft.pages=951-959&rft.issn=2731-8095&rft.eissn=2731-8109&rft_id=info:doi/10.1007/s40995-023-01459-x&rft_dat=%3Cproquest_cross%3E2816033676%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2816033676&rft_id=info:pmid/&rfr_iscdi=true