Superstability of derivations on Banach ∗-algebras

Sun Young Jang
2017 Advances in Difference Equations  
In this paper, we show that approximate derivations on Banach * -algebras are exactly derivations and also show that approximate quadratic * -derivations on Banach * -algebras are exactly quadratic * -derivations by the fixed point theorem. MSC: Primary 46S40; 39B52; 47H10; 39B62; 26E50; 47S40 which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license,
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doi:10.1186/s13662-017-1245-8 fatcat:u5vnjbihpjdfngyvs3ft6qvtlu