On distance-preserving mappings
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, SM | - |
dc.contributor.author | Rassias, TM | - |
dc.date.accessioned | 2022-02-18T07:41:38Z | - |
dc.date.available | 2022-02-18T07:41:38Z | - |
dc.date.created | 2022-02-18 | - |
dc.date.issued | 2004-07 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25759 | - |
dc.description.abstract | We generalize a theorem of W. Benz by proving the following result: Let H(theta) be a half space of a real Hilbert space with dimension greater than or equal to 3 and let Y be a real normed space which is strictly convex. If a distance p > 0 is contractive and another distance Nrho (N greater than or equal to 2) is extensive by a mapping f : H(theta) --> Y, then the restriction f\H(theta+rho/2) is an isometry, where H(theta+rho/2) is also a half space which is a proper subset of H(theta). Applying the above result, we also generalize a. classical theorem of Beckman and Quarles. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | On distance-preserving mappings | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Jung, SM | - |
dc.identifier.wosid | 000222451400005 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.41, no.4, pp.667 - 680 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 41 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 667 | - |
dc.citation.endPage | 680 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001106330 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ALEKSANDROV PROBLEM | - |
dc.subject.keywordAuthor | Aleksandrov problem | - |
dc.subject.keywordAuthor | isometry | - |
dc.subject.keywordAuthor | distance-preserving mapping | - |
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