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Article: The C-numerical range of matrices is star-shaped

TitleThe C-numerical range of matrices is star-shaped
Authors
Issue Date1996
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/03081087.asp
Citation
Linear And Multilinear Algebra, 1996, v. 41 n. 3, p. 245-250 How to Cite?
AbstractLet A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical range of A, defined by Wc(A) = {tr(Cu* AU) : U is unitary}, is always star-shaped with respect to star-center (tr A)(tr C)/n. This result is equivalent to that the image of the unitary orbit {U* AU : U is unitary} of A under any complex linear functional is always star-shaped. © 1996 OPA (Overseas Publishers Association) Amsterdam B.V. Published in The Netherlands Under license by Gordon and Breach Science Publishers.
Persistent Identifierhttp://hdl.handle.net/10722/75146
ISSN
2015 Impact Factor: 0.761
2015 SCImago Journal Rankings: 0.602
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, WSen_HK
dc.contributor.authorTsing, NKen_HK
dc.date.accessioned2010-09-06T07:08:22Z-
dc.date.available2010-09-06T07:08:22Z-
dc.date.issued1996en_HK
dc.identifier.citationLinear And Multilinear Algebra, 1996, v. 41 n. 3, p. 245-250en_HK
dc.identifier.issn0308-1087en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75146-
dc.description.abstractLet A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical range of A, defined by Wc(A) = {tr(Cu* AU) : U is unitary}, is always star-shaped with respect to star-center (tr A)(tr C)/n. This result is equivalent to that the image of the unitary orbit {U* AU : U is unitary} of A under any complex linear functional is always star-shaped. © 1996 OPA (Overseas Publishers Association) Amsterdam B.V. Published in The Netherlands Under license by Gordon and Breach Science Publishers.en_HK
dc.languageengen_HK
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/03081087.aspen_HK
dc.relation.ispartofLinear and Multilinear Algebraen_HK
dc.titleThe C-numerical range of matrices is star-shapeden_HK
dc.typeArticleen_HK
dc.identifier.emailTsing, NK:nktsing@hku.hken_HK
dc.identifier.authorityTsing, NK=rp00794en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-21444452075en_HK
dc.identifier.hkuros29436en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-21444452075&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume41en_HK
dc.identifier.issue3en_HK
dc.identifier.spage245en_HK
dc.identifier.epage250en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, WS=7202743043en_HK
dc.identifier.scopusauthoridTsing, NK=6602663351en_HK

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