DC FieldValueLanguage
dc.contributor.authorKruse, Karsten-
dc.contributor.authorSchwenninger, Felix-
dc.date.accessioned2022-01-11T14:51:51Z-
dc.date.available2022-01-11T14:51:51Z-
dc.date.issued2022-05-15-
dc.identifier.citationJournal of Mathematical Analysis and Applications 509 (2): 125985 (2022-05-15)de_DE
dc.identifier.issn1096-0813de_DE
dc.identifier.urihttp://hdl.handle.net/11420/11462-
dc.description.abstractIn contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology. This paper aims to give minimal assumptions in order to recover typical features like tightness and equicontinuity with respect to the mixed topology as well as to carefully clarify on mutual relations between previously studied variants of these notions. The abstract results -- exploiting techniques from topological vector spaces -- are thoroughly discussed by means of several example classes, such as semigroups on spaces of bounded continuous functions.en
dc.language.isoende_DE
dc.relation.ispartofJournal of mathematical analysis and applicationsde_DE
dc.subjectBi-continuous semigroupde_DE
dc.subjectTightde_DE
dc.subjectEquicontinuousde_DE
dc.subjectMixed topologyde_DE
dc.subjectC-sequentialde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleOn equicontinuity and tightness of bi-continuous semigroupsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishIn contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology. This paper aims to give minimal assumptions in order to recover typical features like tightness and equicontinuity with respect to the mixed topology as well as to carefully clarify on mutual relations between previously studied variants of these notions. The abstract results -- exploiting techniques from topological vector spaces -- are thoroughly discussed by means of several example classes, such as semigroups on spaces of bounded continuous functions.de_DE
tuhh.publisher.doi10.1016/j.jmaa.2021.125985-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue2de_DE
tuhh.container.volume509de_DE
dc.relation.projectModellierung, Simulation und Optimierung mit fluiddynamischen Anwendungende_DE
dc.identifier.arxiv2110.01244v2de_DE
dc.identifier.scopus2-s2.0-85122704508de_DE
tuhh.container.articlenumber125985de_DE
local.status.inpressfalsede_DE
local.publisher.peerreviewedtruede_DE
datacite.resourceTypeArticle-
datacite.resourceTypeGeneralJournalArticle-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidKruse, Karsten-
item.creatorOrcidSchwenninger, Felix-
item.creatorGNDKruse, Karsten-
item.creatorGNDSchwenninger, Felix-
item.languageiso639-1en-
item.fulltextNo Fulltext-
item.mappedtypeArticle-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderid501100001659-
crisitem.project.funderrorid018mejw64-
crisitem.project.grantnoGRK 2583/1-
crisitem.project.fundingProgramGRK 2583-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1864-4915-
crisitem.author.orcid0000-0002-2030-6504-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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