DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cima, JA | - |
dc.contributor.author | Graham, I | - |
dc.contributor.author | Kim, KT | - |
dc.contributor.author | Krantz, SG | - |
dc.date.accessioned | 2016-04-01T09:07:35Z | - |
dc.date.available | 2016-04-01T09:07:35Z | - |
dc.date.created | 2009-03-05 | - |
dc.date.issued | 2007-03 | - |
dc.identifier.issn | 0027-7630 | - |
dc.identifier.other | 2007-OAK-0000010795 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/29500 | - |
dc.description.abstract | This paper treats a holomorphic self-mapping f : Omega -> Omega of a bounded domain Omega in a separable Hilbert space H with a fixed point p. In case the domain is convex, we prove an infinite-dimensional version of the Cartan-Caratheodory-Kaup-Wu Theorem. This is basically a rigidity result in the vein of the uniqueness part of the classical Schwarz lemma. The main technique, inspired by an old idea of H. Cartan, is iteration of the mapping f and its derivative. A normality result for holomorphic mappings in the compact-weak-open topology, due to Kim and Krantz, is used. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | NAGOYA UNIV | - |
dc.relation.isPartOf | NAGOYA MATHEMATICAL JOURNAL | - |
dc.subject | NORMAL-FAMILIES | - |
dc.subject | HOLOMORPHIC MAPPINGS | - |
dc.subject | COMPLEX | - |
dc.title | The Caratheodory-Cartan-Kaup-Wu Theorem on an infinite-dimensional Hilbert space | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1017/S0027763000025721 | - |
dc.author.google | Cima, JA | - |
dc.author.google | Graham, I | - |
dc.author.google | Kim, KT | - |
dc.author.google | Krantz, SG | - |
dc.relation.volume | 185 | - |
dc.relation.startpage | 17 | - |
dc.relation.lastpage | 30 | - |
dc.contributor.id | 10053801 | - |
dc.relation.journal | NAGOYA MATHEMATICAL JOURNAL | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | NAGOYA MATHEMATICAL JOURNAL, v.185, pp.17 - 30 | - |
dc.identifier.wosid | 000245408900002 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 30 | - |
dc.citation.startPage | 17 | - |
dc.citation.title | NAGOYA MATHEMATICAL JOURNAL | - |
dc.citation.volume | 185 | - |
dc.contributor.affiliatedAuthor | Kim, KT | - |
dc.identifier.scopusid | 2-s2.0-33947611622 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 2 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | NORMAL-FAMILIES | - |
dc.subject.keywordPlus | HOLOMORPHIC MAPPINGS | - |
dc.subject.keywordPlus | COMPLEX | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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