Additive Functional Inequalities in Banach Modules

Additive Functional Inequalities in Banach Modules

We investigate the following functional inequality in Banach modules over a -algebra and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorp...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2008-01, Vol.2008 (1), p.592504
Hauptverfasser: Park, Choonkil, An, Jong Su, Moradlou, Fridoun
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate the following functional inequality in Banach modules over a -algebra and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorphisms in complex Banach algebras and prove the generalized Hyers-Ulam stability of homomorphisms in complex Banach algebras.
ISSN:1029-242X
1029-242X
DOI:10.1155/2008/592504