Glasnik matematički, Vol. 50 No. 1, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.1.07
On approximate generalized Lie derivations
Janusz Brzdęk
; Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland
Ajda Fošner
; Faculty of Management, University of Primorska, Cankarjeva 5, SI-6104 Koper, Slovenia
Abstract
Motivated by the notion of the Hyers-Ulam stability, we prove results that are efficient tools for the study of approximate generalized Lie derivations on Lie algebras. We also provide simple examples of applications of our outcomes. In particular, we obtain some auxiliary results on the stability of the additive Cauchy equation.
Keywords
Stability; normed algebra; Banach bimodule; Lie derivation; generalized Lie derivation
Hrčak ID:
140088
URI
Publication date:
15.6.2015.
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