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- Publisher Website: 10.1016/S0024-3795(96)00099-7
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Article: Norm hull of vectors and matrices
| Title | Norm hull of vectors and matrices |
|---|---|
| Authors | |
| Issue Date | 1997 |
| Publisher | Elsevier 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? |
| Abstract | Let 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 Identifier | http://hdl.handle.net/10722/75283 |
| ISSN | 2021 Impact Factor: 1.307 2020 SCImago Journal Rankings: 0.951 |
| ISI Accession Number ID | |
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, CK | en_HK |
| dc.contributor.author | Tsing, NK | en_HK |
| dc.contributor.author | Zhang, F | en_HK |
| dc.date.accessioned | 2010-09-06T07:09:40Z | - |
| dc.date.available | 2010-09-06T07:09:40Z | - |
| dc.date.issued | 1997 | en_HK |
| dc.identifier.citation | Linear Algebra And Its Applications, 1997, v. 257 n. 1-3, p. 1-27 | en_HK |
| dc.identifier.issn | 0024-3795 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/75283 | - |
| dc.description.abstract | Let 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.language | eng | en_HK |
| dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa | en_HK |
| dc.relation.ispartof | Linear Algebra and Its Applications | en_HK |
| dc.title | Norm hull of vectors and matrices | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.email | Tsing, NK:nktsing@hku.hk | en_HK |
| dc.identifier.authority | Tsing, NK=rp00794 | en_HK |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/S0024-3795(96)00099-7 | - |
| dc.identifier.scopus | eid_2-s2.0-0039921674 | en_HK |
| dc.identifier.hkuros | 35386 | en_HK |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0039921674&selection=ref&src=s&origin=recordpage | en_HK |
| dc.identifier.volume | 257 | en_HK |
| dc.identifier.issue | 1-3 | en_HK |
| dc.identifier.spage | 1 | en_HK |
| dc.identifier.epage | 27 | en_HK |
| dc.identifier.isi | WOS:A1997WU58400001 | - |
| dc.publisher.place | United States | en_HK |
| dc.identifier.scopusauthorid | Li, CK=8048590800 | en_HK |
| dc.identifier.scopusauthorid | Tsing, NK=6602663351 | en_HK |
| dc.identifier.scopusauthorid | Zhang, F=7404970598 | en_HK |
| dc.identifier.issnl | 0024-3795 | - |