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Article: Numerical radius preserving operators on C*-algebras

TitleNumerical radius preserving operators on C*-algebras
Authors
Issue Date1998
PublisherBirkhaeuser Verlag AG. The Journal's web site is located at http://www.link.springer.de/link/service/journals/00013/index.htm
Citation
Archiv Der Mathematik, 1998, v. 70 n. 6, p. 486-488 How to Cite?
AbstractLet A be a unital C*-algebra. An element u of A is unitary and belongs to the centre of A if and only if φ(u) = 1 for every pure state φ. Using this fact we show that a numerical radius preserving linear isomorphism on A is a C*-isomorphism multiplied by a fixed unitary element in the centre of A.
Persistent Identifierhttp://hdl.handle.net/10722/75236
ISSN
2023 Impact Factor: 0.5
2023 SCImago Journal Rankings: 0.455
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, JTen_HK
dc.date.accessioned2010-09-06T07:09:13Z-
dc.date.available2010-09-06T07:09:13Z-
dc.date.issued1998en_HK
dc.identifier.citationArchiv Der Mathematik, 1998, v. 70 n. 6, p. 486-488en_HK
dc.identifier.issn0003-889Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/75236-
dc.description.abstractLet A be a unital C*-algebra. An element u of A is unitary and belongs to the centre of A if and only if φ(u) = 1 for every pure state φ. Using this fact we show that a numerical radius preserving linear isomorphism on A is a C*-isomorphism multiplied by a fixed unitary element in the centre of A.en_HK
dc.languageengen_HK
dc.publisherBirkhaeuser Verlag AG. The Journal's web site is located at http://www.link.springer.de/link/service/journals/00013/index.htmen_HK
dc.relation.ispartofArchiv der Mathematiken_HK
dc.titleNumerical radius preserving operators on C*-algebrasen_HK
dc.typeArticleen_HK
dc.identifier.emailChan, JT:jtchan@hkucc.hku.hken_HK
dc.identifier.authorityChan, JT=rp00663en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s000130050223-
dc.identifier.scopuseid_2-s2.0-0032388568en_HK
dc.identifier.hkuros35085en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032388568&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume70en_HK
dc.identifier.issue6en_HK
dc.identifier.spage486en_HK
dc.identifier.epage488en_HK
dc.identifier.isiWOS:000074550400010-
dc.publisher.placeSwitzerlanden_HK
dc.identifier.scopusauthoridChan, JT=8246867400en_HK
dc.identifier.issnl0003-889X-

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