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A characterization of isometries on an open convex set, II
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Jung, Soon-Mo | - |
| dc.date.accessioned | 2022-01-03T05:44:00Z | - |
| dc.date.available | 2022-01-03T05:44:00Z | - |
| dc.date.created | 2021-12-28 | - |
| dc.date.issued | 2009-03 | - |
| dc.identifier.issn | 1678-7544 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/21903 | - |
| dc.description.abstract | Let E(n) be an n-dimensional Euclidean space with n >= 2. In this paper, we generalize a classical theorem of Beckman and Quarles by proving that if a mapping, from an open convex subset C(0) of En into E(n), preserves a distance rho, then the restriction of f to an open convex subset C(infinity) of C(0) is an isometry. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | SPRINGER | - |
| dc.title | A characterization of isometries on an open convex set, II | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Jung, Soon-Mo | - |
| dc.identifier.doi | 10.1007/s00574-009-0003-2 | - |
| dc.identifier.wosid | 000266412700003 | - |
| dc.identifier.bibliographicCitation | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v.40, no.1, pp.77 - 84 | - |
| dc.relation.isPartOf | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | - |
| dc.citation.title | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | - |
| dc.citation.volume | 40 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 77 | - |
| dc.citation.endPage | 84 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | ALEKSANDROV PROBLEM | - |
| dc.subject.keywordPlus | MAPPINGS | - |
| dc.subject.keywordAuthor | Aleksandrov problem | - |
| dc.subject.keywordAuthor | isometry | - |
| dc.subject.keywordAuthor | distance preserving mapping | - |
| dc.subject.keywordAuthor | restricted domain | - |
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