Local Triple Derivations on<i>C</i>*-Algebras<sup>†</sup>
Local Triple Derivations on<i>C</i>*-Algebras<sup>†</sup>
Abstract We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras. Key Words: Generalised derivationGeneralised Jordan derivationLocal triple derivationTriple derivationUnital C*-algebra2010 Mathematics Subject Classification: Primary: 47B47, 46L57Secondary: 17C65, 46L05, 46L08 ACKNOWLEDGMENTS Authors partially …