DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, DH | - |
dc.contributor.author | Choi, YS | - |
dc.date.accessioned | 2017-07-19T13:35:32Z | - |
dc.date.available | 2017-07-19T13:35:32Z | - |
dc.date.created | 2017-02-21 | - |
dc.date.issued | 2017-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/37274 | - |
dc.description.abstract | Using a diffeomorphism between the unit sphere and a closed hyperplane of an infinite dimensional Banach space, we introduce the differentiation of a function defined on the unit sphere, and show that a continuous linear functional attains its norm if and only if it has a critical point on the unit sphere. Furthermore, we provide a strong version of the Bishop-Phelps-BollobAs theorem for a Lipschitz smooth Banach space. | - |
dc.language | English | - |
dc.publisher | Elsevier | - |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications | - |
dc.title | Norming points and critical points | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/J.JMAA.2016.02.030 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of Mathematical Analysis and Applications, v.445, pp.1284 - 1290 | - |
dc.identifier.wosid | 000384875700011 | - |
dc.date.tcdate | 2018-03-23 | - |
dc.citation.endPage | 1290 | - |
dc.citation.startPage | 1284 | - |
dc.citation.title | Journal of Mathematical Analysis and Applications | - |
dc.citation.volume | 445 | - |
dc.contributor.affiliatedAuthor | Choi, YS | - |
dc.identifier.scopusid | 2-s2.0-84973102797 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.scptc | 0 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.subject.keywordPlus | DIMENSIONAL HILBERT-SPACE | - |
dc.subject.keywordPlus | BANACH-SPACES | - |
dc.subject.keywordPlus | UNIT-SPHERE | - |
dc.subject.keywordPlus | SMOOTH | - |
dc.subject.keywordAuthor | Banach space | - |
dc.subject.keywordAuthor | Bishop-Phelps theorem | - |
dc.subject.keywordAuthor | Differentiation | - |
dc.subject.keywordAuthor | Critical point | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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