Comment on "Approximate ternary Jordan derivations on Banach ternary algebras" [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303, (2009)]
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Gordji, M. Eshaghi | - |
dc.date.accessioned | 2022-12-20T18:16:26Z | - |
dc.date.available | 2022-12-20T18:16:26Z | - |
dc.date.created | 2022-08-27 | - |
dc.date.issued | 2010-04 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/175175 | - |
dc.description.abstract | Let A be a Banach ternary algebra over C and X a ternary Banach A-module. A C-linear mapping D: (A, [ ](A)) -> (X, [ ](X)) is called a ternary Jordan derivation if D([xxx](A)) = [D(x)xx](X) + [xD(x)x](X) + [xxD(x)](X) for all x is an element of A. [Bavand Savadkouhi et al., J. Math. Phys. 50, 042303 (2009)] investigated ternary Jordan derivations on Banach ternary algebras, associated with the following functional equation: f((x+y+z)/4) + f((3x-y-4z)/4) + f((4x+3z)/4) = 2f(x), and proved the generalized Ulam-Hyers stability of ternary Jordan derivations on Banach ternary algebras. The mapping f in Lemma 2.2 of Bavand Savadkouhi et al. is identically zero and all of the results are trivial. In this note, we correct the statements of the results and the proofs. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER INST PHYSICS | - |
dc.title | Comment on "Approximate ternary Jordan derivations on Banach ternary algebras" [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303, (2009)] | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1063/1.3299295 | - |
dc.identifier.scopusid | 2-s2.0-77953249349 | - |
dc.identifier.wosid | 000277242500041 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL PHYSICS, v.51, no.4, pp.1 - 7 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.volume | 51 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 7 | - |
dc.type.rims | ART | - |
dc.type.docType | Editorial Material | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | FUNCTIONAL-EQUATIONS | - |
dc.subject.keywordPlus | LINEAR MAPPINGS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | HOMOMORPHISMS | - |
dc.subject.keywordPlus | ULAM | - |
dc.subject.keywordPlus | SPACES | - |
dc.identifier.url | https://aip.scitation.org/doi/10.1063/1.3299295 | - |
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