DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aron, R | - |
dc.contributor.author | Choi, YS | - |
dc.contributor.author | Kim, SK | - |
dc.contributor.author | Lee, HJ | - |
dc.contributor.author | Martin, M | - |
dc.date.accessioned | 2016-04-01T07:35:13Z | - |
dc.date.available | 2016-04-01T07:35:13Z | - |
dc.date.created | 2015-02-08 | - |
dc.date.issued | 2015-09 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.other | 2015-OAK-0000031821 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/26661 | - |
dc.description.abstract | We study a Bishop-Phelps-Bollobas version of Lindenstrauss properties A and B. For domain spaces, we study Banach spaces X such that (X, Y) has the Bishop-Phelps-Bollobas property (BPBp) for every Banach space Y. We show that in this case, there exists a universal function eta(X)(epsilon) such that for every Y, the pair (X, Y) has the BPBp with this function. This allows us to prove some necessary isometric conditions for X to have the property. We also prove that if X has this property in every equivalent norm, then X is one-dimensional. For range spaces, we study Banach spaces Y such that (X, Y) has the Bishop-Phelps-Bollobas property for every Banach space X. In this case, we show that there is a universal function eta(Y)(epsilon) such that for every X, the pair (X, Y) has the BPBp with this function. This implies that this property of Y is strictly stronger than Lindenstrauss property B. The main tool to get these results is the study of the Bishop-Phelps-Bollobas property for c(0)-, l(1)- and l(infinity)-sums of Banach spaces. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | American Mathematical Society | - |
dc.relation.isPartOf | Transactions of the American Mathematical Society | - |
dc.title | The Bishop-Phelps-Bollobas version of Lindenstrauss properties A and B | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1090/S0002-9947-2015-06551-9 | - |
dc.author.google | Aron, R | - |
dc.author.google | Choi, YS | - |
dc.author.google | Kim, SK | - |
dc.author.google | Lee, HJ | - |
dc.author.google | Martin, M | - |
dc.relation.volume | 367 | - |
dc.relation.issue | 9 | - |
dc.relation.startpage | 6085 | - |
dc.relation.lastpage | 6101 | - |
dc.contributor.id | 10105843 | - |
dc.relation.journal | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Transactions of the American Mathematical Society, v.367, no.9, pp.6085 - 6101 | - |
dc.identifier.wosid | 000357046600003 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 6101 | - |
dc.citation.number | 9 | - |
dc.citation.startPage | 6085 | - |
dc.citation.title | Transactions of the American Mathematical Society | - |
dc.citation.volume | 367 | - |
dc.contributor.affiliatedAuthor | Choi, YS | - |
dc.identifier.scopusid | 2-s2.0-84928090410 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 13 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | NORM ATTAINING OPERATORS | - |
dc.subject.keywordPlus | BANACH-SPACES | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | DENSENESS | - |
dc.subject.keywordPlus | L-1(MU) | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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