Orthogonal stability of additive type equations

Moslehian, MS; Rassias, TM

dc.contributor.author	Moslehian, MS	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:26:51Z
dc.date.available	2014-03-01T01:26:51Z
dc.date.issued	2007	en
dc.identifier.issn	00019054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18253
dc.subject	Banach module	en
dc.subject	C *-algebra	en
dc.subject	Hyers-Ulam stability	en
dc.subject	Orthogonality	en
dc.subject	Orthogonality space	en
dc.subject	Orthogonally additive mapping	en
dc.subject	Orthogonally additive type equation	en
dc.subject	Orthogonally quadratic mapping	en
dc.title	Orthogonal stability of additive type equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00010-006-2868-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00010-006-2868-0	en
heal.publicationDate	2007	en
heal.abstract	Suppose that ( equation prsented ) is a symmetric orthogonality module and γ a Banach module over a unital Banach algebra equation prsented is a mapping satisfying equation prsented, for k = 1 or 2, for some ε 0, for all a in the unit sphere equation prsented and all equation prsented. Assume that the mapping equation prsented is continuous for each fixed equation prsented. Then there exists a unique equation prsented : equation prsented = aT(x), a equation prsented such that equation prsented, for all equation prsented. © Birkhäuser Verlag, Basel 2007.	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/s00010-006-2868-0	en
dc.identifier.volume	73	en
dc.identifier.issue	3	en
dc.identifier.spage	249	en
dc.identifier.epage	259	en