DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, YS | - |
dc.contributor.author | Garcia, D | - |
dc.contributor.author | Kim, SG | - |
dc.contributor.author | Maestre, M | - |
dc.date.accessioned | 2016-03-31T12:23:49Z | - |
dc.date.available | 2016-03-31T12:23:49Z | - |
dc.date.created | 2009-03-19 | - |
dc.date.issued | 2004-07-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.other | 2004-OAK-0000004341 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/17867 | - |
dc.description.abstract | Let C(K, C) be the Banach space of all complex-valued continuous functions on a compact Hausdorff space K. We study when the following statement holds: every norm attaining n-homogeneous complex polynomial on C(K, C) attains its norm at extreme points. We prove that this property is true whenever K is a compact Hausdorff space of dimension less than or equal to one. In the case of a compact metric space a characterization is obtained. As a consequence we show that, for a scattered compact Hausdorff space K, every continuous n-homogeneous complex polynomial on C(K, C) can be approximated by norm attaining ones at extreme points and also that the set of all extreme points of the unit ball of C (K, E) is a norming set for every continuous complex polynomial. Similar results can be obtained if "norm" is replaced by "numerical radius." (C) 2004 Elsevier lnc. All rights reserved. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.subject | EXTREME-POINTS | - |
dc.subject | MULTILINEAR MAPPINGS | - |
dc.subject | BILINEAR-FORMS | - |
dc.subject | BANACH-SPACE | - |
dc.subject | OPERATORS | - |
dc.subject | DENSENESS | - |
dc.title | Norm or numerical radius attaining polynomials on C(K) | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1016/j.jmaa.2004.03.005 | - |
dc.author.google | Choi, YS | - |
dc.author.google | Garcia, D | - |
dc.author.google | Kim, SG | - |
dc.author.google | Maestre, M | - |
dc.relation.volume | 295 | - |
dc.relation.issue | 1 | - |
dc.relation.startpage | 80 | - |
dc.relation.lastpage | 96 | - |
dc.contributor.id | 10105843 | - |
dc.relation.journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.295, no.1, pp.80 - 96 | - |
dc.identifier.wosid | 000222098200007 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 96 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 80 | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 295 | - |
dc.contributor.affiliatedAuthor | Choi, YS | - |
dc.identifier.scopusid | 2-s2.0-3142778464 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 10 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | MULTILINEAR MAPPINGS | - |
dc.subject.keywordPlus | BANACH-SPACE | - |
dc.subject.keywordPlus | OPERATORS | - |
dc.subject.keywordPlus | DENSENESS | - |
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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