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Abstract
We apply a fixed point theorem to prove that there exists a unique derivation close to an approximately generalized derivation in Lie C*-algebras. Also, we prove the hyperstability of generalized derivations. In other words, we find some conditions under which an approximately generalized derivation becomes a derivation.
Keywords: Derivation of Lie algebras; generalized derivation; contractively subhomogeneous; expansively superhomogeneous; fixed point theorem
Received: 2014-3-30
Revised: 2014-10-18
Accepted: 2014-10-23
Published Online: 2015-5-12
Published in Print: 2015-6-1
© 2015 by De Gruyter
