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An additive functional equation in orthogonality spaces
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Park, Choonkil | - |
| dc.contributor.author | Rassias, Themistocles M. | - |
| dc.date.accessioned | 2022-07-16T15:15:34Z | - |
| dc.date.available | 2022-07-16T15:15:34Z | - |
| dc.date.created | 2021-05-11 | - |
| dc.date.issued | 2012-06 | - |
| dc.identifier.issn | 0000-0000 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/165484 | - |
| dc.description.abstract | By applying the fixed point method as well as the direct method, we provide a proof of the Hyers-Ulam stability of linear mappings, isometric linear mappings and 2-isometric linear mappings in Banach modules over a unital C ∗-algebra and in non-Archimedean Banach modules over a unital C ∗-algebra associated with an orthogonally additive functional equation. Moreover, we prove the Hyers-Ulam stability of homomorphisms in C ∗-algebras associated with an orthogonally additive functional equation. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | Springer-Verlag Berlin Heidelberg | - |
| dc.title | An additive functional equation in orthogonality spaces | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Park, Choonkil | - |
| dc.identifier.doi | 10.1007/978-3-642-28821-0_14 | - |
| dc.identifier.scopusid | 2-s2.0-84939956798 | - |
| dc.identifier.bibliographicCitation | Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday, v.9.78364E+12, pp.335 - 367 | - |
| dc.relation.isPartOf | Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday | - |
| dc.citation.title | Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday | - |
| dc.citation.volume | 9.78364E+12 | - |
| dc.citation.startPage | 335 | - |
| dc.citation.endPage | 367 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Book Chapter | - |
| dc.description.journalClass | 1 | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.subject.keywordPlus | Algebra | - |
| dc.subject.keywordPlus | Asymptotic stability | - |
| dc.subject.keywordPlus | Mapping | - |
| dc.subject.keywordPlus | Nonlinear equations | - |
| dc.subject.keywordPlus | Banach modules | - |
| dc.subject.keywordPlus | Direct method | - |
| dc.subject.keywordPlus | Fixed point methods | - |
| dc.subject.keywordPlus | Functional equation | - |
| dc.subject.keywordPlus | Hyers-Ulam stability | - |
| dc.subject.keywordPlus | Linear mapping | - |
| dc.subject.keywordPlus | Orthogonality | - |
| dc.subject.keywordPlus | Functional analysis | - |
| dc.identifier.url | https://link.springer.com/chapter/10.1007/978-3-642-28821-0_14 | - |
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)