Survey on Recent Ulam Stability Results Concerning Derivations. (8th August 2016)

• Record Type: Journal Article
• Authors: Brzdęk, Janusz; Cădariu, Liviu; Ciepliński, Krzysztof; Fošner, Ajda; Leśniak, Zbigniew
• Other Names: Wu Shanhe Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-08-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/1235103
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and superstability issues connected with derivations are discussed. In the section before the last one we highlight some recent outcomes on stability of conditions defining (generalized) Lie derivations.