Approximate homomorphisms

Hyers, D; Rassias, T

dc.contributor.author	Hyers, D	en
dc.contributor.author	Rassias, T	en
dc.date.accessioned	2014-03-01T01:41:02Z
dc.date.available	2014-03-01T01:41:02Z
dc.date.issued	1992	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23333
dc.subject	banach space	en
dc.subject	Topological Vector Space	en
dc.title	Approximate homomorphisms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01830975	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01830975	en
heal.publicationDate	1992	en
heal.abstract	Summary We present a survey of ideas and results stemming from the following stability problem of S. M. Ulam. Given a groupG1, a metric groupG2 and ε > 0, find δ > 0 such that, iff: G1 →G2 satisfiesd(f(xy),f(x)f(y)) ⩽ δ for allx, y ∈G1, then there exists a homomorphismg: G1 →G2 such thatd(f(x),g(x))⩽ε for allx ∈ Gl. For Banach	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/BF01830975	en