On the stability of Jensen's functional equation on groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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 $G$.
18 pages

Keywords

Functional Analysis, 20M15; 20M30; 39B82

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/126118

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703628
 http://arxiv.org/abs/math/0703628

Collections

arXiv