DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choy, Jaeyoo | ko |
dc.contributor.author | Chu, Hahng-Yun | ko |
dc.contributor.author | Ku, Se-Hyun | ko |
dc.date.accessioned | 2013-03-08T16:57:03Z | - |
dc.date.available | 2013-03-08T16:57:03Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-02 | - |
dc.identifier.citation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.72, no.3-4, pp.1291 - 1297 | - |
dc.identifier.issn | 0362-546X | - |
dc.identifier.uri | http://hdl.handle.net/10203/93651 | - |
dc.description.abstract | We consider the area preserving 2-isometries in linear 2-normed spaces. In Chu (2007) [10], the Mazur-Ulam theorem was proved in linear 2-normed spaces with the assumption of the collinearity preserving. In this article, we prove the Mazur-Ulam theorem for the interior preserving mappings in linear 2-normed spaces. Recently Amyari, Sadeghi [16], in non-Archimedean 2-normed spaces, the Mazur-Ulam theorem was proved under the condition of strict convexity. In this paper, we also prove the theorem on non-Archimedean 2-normed spaces over a linear ordered non-Archimedean field without the strict convexity assumption. (C) 2009 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | LINEAR 2-NORMED SPACES | - |
dc.subject | ALEKSANDROV PROBLEM | - |
dc.subject | CONSERVATIVE DISTANCES | - |
dc.subject | NORMED SPACES | - |
dc.subject | MAPPINGS | - |
dc.title | Characterizations on Mazur-Ulam theorem | - |
dc.type | Article | - |
dc.identifier.wosid | 000273188500017 | - |
dc.identifier.scopusid | 2-s2.0-71849101009 | - |
dc.type.rims | ART | - |
dc.citation.volume | 72 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 1291 | - |
dc.citation.endingpage | 1297 | - |
dc.citation.publicationname | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.na.2009.08.017 | - |
dc.contributor.nonIdAuthor | Choy, Jaeyoo | - |
dc.contributor.nonIdAuthor | Ku, Se-Hyun | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | 2-isometry | - |
dc.subject.keywordAuthor | Mazur-Ulam theorem | - |
dc.subject.keywordAuthor | Non-Archimedean 2-normed space | - |
dc.subject.keywordPlus | LINEAR 2-NORMED SPACES | - |
dc.subject.keywordPlus | ALEKSANDROV PROBLEM | - |
dc.subject.keywordPlus | CONSERVATIVE DISTANCES | - |
dc.subject.keywordPlus | NORMED SPACES | - |
dc.subject.keywordPlus | MAPPINGS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.