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Licensed Unlicensed Requires Authentication Published by De Gruyter May 12, 2015

Approximate generalized derivations close to derivations in Lie C*-algebras

Madjid Eshaghi EMAIL logo and Sadegh Abbaszadeh

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.

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

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