Proper $CQ^*$-ternary algebras
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2021-08-03T23:52:38Z | - |
dc.date.available | 2021-08-03T23:52:38Z | - |
dc.date.created | 2021-06-30 | - |
dc.date.issued | 2008-04-19 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/65041 | - |
dc.description.abstract | In this paper, modifying the construction of a $C^*$-ternary algebra from a given $C^*$-algebra, we define a proper $CQ^*$-ternary algebra from a given proper $CQ^*$-algebra. We investigate homomorphisms in proper $CQ^*$-ternary algebras and derivations on proper $CQ^*$-ternary algebras 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 algebras and of derivations on proper $CQ^*$-ternary algebras 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 | 국가수리과학연구소 | - |
dc.title | Proper $CQ^*$-ternary algebras | - |
dc.type | Conference | - |
dc.contributor.affiliatedAuthor | 박춘길 | - |
dc.identifier.bibliographicCitation | NIMS Conference on Functional Analysis and its Applications | - |
dc.relation.isPartOf | NIMS Conference on Functional Analysis and its Applications | - |
dc.citation.title | NIMS Conference on Functional Analysis and its Applications | - |
dc.citation.conferencePlace | 국가수리과학연구소 | - |
dc.type.rims | CONF | - |
dc.description.journalClass | 2 | - |
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