On the stability of Jensen's functional equation on groups

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dc.creatorFaiziev, Valerii A
dc.creatorSahoo, Prasanna K
dc.date2007-03-21
dc.date.accessioned2026-07-07T07:53:05Z
dc.date.available2026-07-07T07:53:05Z
dc.descriptionIn this paper we establish the stability of Jensen's functional equation on some classes of groups. We prove that Jensen equation is stable on noncommutative groups such as metabelian groups and $T(2, K)$, where $K$ is an arbitrary commutative field with characteristic different from two. We also prove that any group $A$ can be embedded into some group $G$ such that the Jensen functional equation is stable on $G$.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0703628
dc.identifierhttp://arxiv.org/abs/math/0703628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126118
dc.subjectFunctional Analysis
dc.subject20M15; 20M30; 39B82
dc.titleOn the stability of Jensen's functional equation on groups
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