DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, YS | - |
dc.contributor.author | Garcia, D | - |
dc.contributor.author | Maestre, M | - |
dc.contributor.author | Martin, M | - |
dc.date.accessioned | 2016-04-01T01:39:44Z | - |
dc.date.available | 2016-04-01T01:39:44Z | - |
dc.date.created | 2009-08-12 | - |
dc.date.issued | 2007-03 | - |
dc.identifier.issn | 0039-3223 | - |
dc.identifier.other | 2007-OAK-0000006800 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/23427 | - |
dc.description.abstract | We study when the Daugavet equation is satisfied for weakly compact polynomials on a Banach space X, i.e. when the equality parallel to Id+P parallel to=11+parallel to P parallel to is satisfied for all weakly compact polynomials P: X -> X. We show that this is the case when X = C(K), the real or complex space of continuous functions on a compact space K without isolated points. We also study the alternative Daugavet equation max parallel to I+omega P parallel to=1+parallel to P parallel to vertical bar w vertical bar=1 for polynomials P : X -> X. We show that this equation holds for every polynomial on the complex space X = C(K) (K arbitrary) with values in X. This result is not true in the real case. Finally, we study the Daugavet and the alternative Daugavet equations for k-homogeneous polynomials. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | POLISH ACAD SCIENCES INST MATHEMATICS | - |
dc.relation.isPartOf | STUDIA MATHEMATICA | - |
dc.subject | polynomial | - |
dc.subject | Banach space | - |
dc.subject | Daugavet equation | - |
dc.subject | numerical range | - |
dc.subject | BANACH-SPACES | - |
dc.subject | HOLOMORPHIC-FUNCTIONS | - |
dc.subject | NUMERICAL INDEX | - |
dc.subject | PROPERTY | - |
dc.subject | RANGE | - |
dc.title | The Daugavet equation for polynomials | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.4064/sm178-1-4 | - |
dc.author.google | Choi, YS | - |
dc.author.google | Garcia, D | - |
dc.author.google | Maestre, M | - |
dc.author.google | Martin, M | - |
dc.relation.volume | 178 | - |
dc.relation.issue | 1 | - |
dc.relation.startpage | 63 | - |
dc.relation.lastpage | 82 | - |
dc.contributor.id | 10105843 | - |
dc.relation.journal | STUDIA MATHEMATICA | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Conference Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | STUDIA MATHEMATICA, v.178, no.1, pp.63 - 82 | - |
dc.identifier.wosid | 000245995200004 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 82 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 63 | - |
dc.citation.title | STUDIA MATHEMATICA | - |
dc.citation.volume | 178 | - |
dc.contributor.affiliatedAuthor | Choi, YS | - |
dc.identifier.scopusid | 2-s2.0-34250893062 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 14 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | BANACH-SPACES | - |
dc.subject.keywordPlus | HOLOMORPHIC-FUNCTIONS | - |
dc.subject.keywordPlus | NUMERICAL INDEX | - |
dc.subject.keywordPlus | PROPERTY | - |
dc.subject.keywordPlus | RANGE | - |
dc.subject.keywordAuthor | polynomial | - |
dc.subject.keywordAuthor | Banach space | - |
dc.subject.keywordAuthor | Daugavet equation | - |
dc.subject.keywordAuthor | numerical range | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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