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Article: Norm hull of vectors and matrices

TitleNorm hull of vectors and matrices
Authors
Issue Date1997
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa
Citation
Linear Algebra And Its Applications, 1997, v. 257 n. 1-3, p. 1-27 How to Cite?
AbstractLet V be a real or complex finite-dimensional vector space, and let script N sign be a set of norms on V. The norm hull of a vector x ∈ V with respect to script N sign is the set of vectors y ∈ V that satisfy ∥y∥ ≤ ∥x∥ for all ∥·∥ ∈ script N sign. We study and give characterization of the norm hull for some sets of well-known norms on general vector spaces, and for the set of algebra norms and the set of induced norms on the algebra of n × n real or complex matrices. © Elsevier Science Inc., 1997.
Persistent Identifierhttp://hdl.handle.net/10722/75283
ISSN
2015 Impact Factor: 0.965
2015 SCImago Journal Rankings: 0.837
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, CKen_HK
dc.contributor.authorTsing, NKen_HK
dc.contributor.authorZhang, Fen_HK
dc.date.accessioned2010-09-06T07:09:40Z-
dc.date.available2010-09-06T07:09:40Z-
dc.date.issued1997en_HK
dc.identifier.citationLinear Algebra And Its Applications, 1997, v. 257 n. 1-3, p. 1-27en_HK
dc.identifier.issn0024-3795en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75283-
dc.description.abstractLet V be a real or complex finite-dimensional vector space, and let script N sign be a set of norms on V. The norm hull of a vector x ∈ V with respect to script N sign is the set of vectors y ∈ V that satisfy ∥y∥ ≤ ∥x∥ for all ∥·∥ ∈ script N sign. We study and give characterization of the norm hull for some sets of well-known norms on general vector spaces, and for the set of algebra norms and the set of induced norms on the algebra of n × n real or complex matrices. © Elsevier Science Inc., 1997.en_HK
dc.languageengen_HK
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laaen_HK
dc.relation.ispartofLinear Algebra and Its Applicationsen_HK
dc.titleNorm hull of vectors and matricesen_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.doi10.1016/S0024-3795(96)00099-7-
dc.identifier.scopuseid_2-s2.0-0039921674en_HK
dc.identifier.hkuros35386en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0039921674&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume257en_HK
dc.identifier.issue1-3en_HK
dc.identifier.spage1en_HK
dc.identifier.epage27en_HK
dc.identifier.isiWOS:A1997WU58400001-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridLi, CK=8048590800en_HK
dc.identifier.scopusauthoridTsing, NK=6602663351en_HK
dc.identifier.scopusauthoridZhang, F=7404970598en_HK

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