Jordan *-derivations on C*-algebras and JC*-algebras
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2021-08-03T23:51:32Z | - |
dc.date.available | 2021-08-03T23:51:32Z | - |
dc.date.created | 2021-06-30 | - |
dc.date.issued | 2008-04-26 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/64951 | - |
dc.description.abstract | In this paper, we investigate Jordan $*$-derivations on $C^*$-algebras and Jordan $*$-derivations on $JC^*$-algebras associated with the following functional inequality \begin{eqnarray} \| f(x)+f(y)+kf(z) \| \le \| kf(\frac{x+y}{k}+z) \| \end{eqnarray} for some integer $k$ greater than 1. We moreover prove the generalized Hyers-Ulam stability of Jordan $*$-derivations on $C^*$-algebras and of Jordan $*$-derivations on $JC^*$-algebras associated with the following functional equation \begin{eqnarray} f(\frac{x+y}{k}+z) = \frac{f(x)+f(y)}{k} + f(z) \end{eqnarray} for some integer $k$ greater than 1. 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 | 대한수학회 | - |
dc.title | Jordan *-derivations on C*-algebras and JC*-algebras | - |
dc.type | Conference | - |
dc.contributor.affiliatedAuthor | 박춘길 | - |
dc.identifier.bibliographicCitation | 대한수학회 봄 연구발표회 | - |
dc.relation.isPartOf | 대한수학회 봄 연구발표회 | - |
dc.citation.title | 대한수학회 봄 연구발표회 | - |
dc.citation.conferencePlace | 계명대학교 | - |
dc.type.rims | CONF | - |
dc.description.journalClass | 2 | - |
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