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Approximate *-derivations and approximate quadratic *-derivations on C*-algebrasKeywords: *-derivation , quadratic *-derivation , C*-algebra, stability , superstability Abstract: In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras. 2000 Mathematics Subject Classification: 39B52; 47B47; 46L05; 39B72.
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