Automatic Boundedness of Adjointable Operators on Barreled Vh-Spaces

dc.authorscopusid 35104286700
dc.contributor.author Ay, Serdar
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:16:28Z
dc.date.available 2024-07-05T15:16:28Z
dc.date.issued 2022
dc.department Atılım University en_US
dc.department-temp [Ay, Serdar] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey en_US
dc.description.abstract We consider the space of adjointable operators on barreled VH (Vector Hilbert) spaces and show that such operators are automatically bounded. This generalizes the well known corresponding result for locally Hilbert C*-modules. We pick a consequence of this result in the dilation theory of VH-spaces and show that, when barreled VH-spaces are considered, a certain boundedness condition for the existence of VH-space linearisations, equivalently, of reproducing kernel VH-spaces, is automatically satisfied. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1007/s11785-021-01184-6
dc.identifier.issn 1661-8254
dc.identifier.issn 1661-8262
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85122996405
dc.identifier.scopusquality Q4
dc.identifier.uri https://doi.org/10.1007/s11785-021-01184-6
dc.identifier.uri https://hdl.handle.net/20.500.14411/1642
dc.identifier.volume 16 en_US
dc.identifier.wos WOS:000743016200002
dc.identifier.wosquality Q3
dc.institutionauthor Ay, Serdar
dc.language.iso en en_US
dc.publisher Springer Basel Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.subject Ordered *-space en_US
dc.subject Admissible space en_US
dc.subject VH-space en_US
dc.subject Barreled VH-space en_US
dc.subject Adjointable operators en_US
dc.subject Bounded operators en_US
dc.subject Positive semidefinite kernel en_US
dc.subject Invariant kernel en_US
dc.subject Linearisation en_US
dc.subject Reproducing kernel en_US
dc.subject *-Representation en_US
dc.subject Locally C*-algebra en_US
dc.subject Hilbert locally C*-module en_US
dc.title Automatic Boundedness of Adjointable Operators on Barreled Vh-Spaces en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
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