Homomorphisms and derivations in proper CQ*-ternary rings
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2021-08-04T00:22:13Z | - |
dc.date.available | 2021-08-04T00:22:13Z | - |
dc.date.created | 2021-06-30 | - |
dc.date.issued | 2008-01-31 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/65503 | - |
dc.description.abstract | In this paper, we investigate homomorphisms in proper $CQ^*$-ternary rings and derivations on proper $CQ^*$-ternary rings associated with the Cauchy functional inequality \begin{eqnarray*} \| f(x)+f(y)+f(z) \| \le \| f(x+y+z) \| . \end{eqnarray*} We moreover prove the generalized Hyers-Ulam stability of homomorphisms in proper $CQ^*$-ternary rings associated with the Cauchy functional equation \begin{eqnarray*} f(x+y+z) = f(x)+f(y)+f(z) . \end{eqnarray*} The concept of generalized Hyers-Ulam stability originated from the Th.M. Rassias` stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. {\bf 72} (1978), 297--300. | - |
dc.publisher | NTUA-CNU | - |
dc.title | Homomorphisms and derivations in proper CQ*-ternary rings | - |
dc.type | Conference | - |
dc.contributor.affiliatedAuthor | 박춘길 | - |
dc.identifier.bibliographicCitation | 2008 NTUA-CNU Workshop on Functional Equations, Inequalities and Related Topics | - |
dc.relation.isPartOf | 2008 NTUA-CNU Workshop on Functional Equations, Inequalities and Related Topics | - |
dc.citation.title | 2008 NTUA-CNU Workshop on Functional Equations, Inequalities and Related Topics | - |
dc.citation.conferencePlace | National Technical University of Athens | - |
dc.type.rims | CONF | - |
dc.description.journalClass | 1 | - |
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