Extension of isometries in real Hilbert spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, Soon-Mo | - |
dc.date.accessioned | 2022-11-10T05:41:20Z | - |
dc.date.available | 2022-11-10T05:41:20Z | - |
dc.date.created | 2022-11-10 | - |
dc.date.issued | 2022-01-01 | - |
dc.identifier.issn | 2391-5455 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/30563 | - |
dc.description.abstract | The main purpose of this article is to develop a theory that extends the domain of any local isometry to the whole space containing the domain, where a local isometry is an isometry between two proper subsets. In fact, the main purpose of this article consists of the following three detailed objectives: The first objective is to extend the bounded domain of any local isometry to the first-order generalized linear span. The second one is to extend the bounded domain of any local isometry to the second-order generalized linear span. The third objective of this article is to extend the bounded domain of any local isometry to the whole Hilbert space. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | DE GRUYTER POLAND SP Z O O | - |
dc.subject | UNIT SPHERES | - |
dc.title | Extension of isometries in real Hilbert spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Jung, Soon-Mo | - |
dc.identifier.doi | 10.1515/math-2022-0518 | - |
dc.identifier.scopusid | 2-s2.0-85142016350 | - |
dc.identifier.wosid | 000874906700001 | - |
dc.identifier.bibliographicCitation | OPEN MATHEMATICS, v.20, no.1, pp.1353 - 1379 | - |
dc.relation.isPartOf | OPEN MATHEMATICS | - |
dc.citation.title | OPEN MATHEMATICS | - |
dc.citation.volume | 20 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1353 | - |
dc.citation.endPage | 1379 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | UNIT SPHERES | - |
dc.subject.keywordAuthor | isometry | - |
dc.subject.keywordAuthor | extension of isometry | - |
dc.subject.keywordAuthor | generalized linear span | - |
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