Stability of homomorphisms and derivations in $C^*$-ternary algebras

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dc.creatorSavadkouhi, M. Bavand
dc.creatorGordji, M. Eshaghi
dc.creatorGhobadipour, N.
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:13:00Z
dc.date.available2026-07-07T12:13:00Z
dc.descriptionIn this paper, we investigate homomorphisms between $C^*$-ternary algebras and derivations on $C^*$-ternary algebras, associated with the following functional equation $$f(\frac{x_2-x_1}{3})+f(\frac{x_1-3x_3}{3})+f(\frac{3x_1+3x_3-x_2}{3})=f(x_1).$$ Moreover, we prove the generalized Hyers-Ulam -Rassias stability of homomorphisms in $C^*$-ternary algebras and of derivations on $C^*$-ternary algebras.
dc.identifierhttps://arxiv.org/abs/0812.2933
dc.identifierhttp://arxiv.org/abs/0812.2933
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210730
dc.subjectOperator Algebras
dc.subject39B52, 39B72, 46K70,46LXX, 39B82
dc.titleStability of homomorphisms and derivations in $C^*$-ternary algebras
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