Non-linear New Product ½ (AB*C+CB*A) Derivations on *-Algebras

Fariba Kazemi; Ali Taghavi

doi:10.5269/bspm.65221

Fariba Kazemi University of Mazandaran
Ali Taghavi University of Mazandaran http://orcid.org/0000-0001-6230-733X

Abstract

Let A be a prime -algebra with unit I and a nontrivial projection.
Then the map : A ! A satises in the following condition
(fABCg) = f(A)BCg + fA(B)Cg + fAB(C)g
where fABCg = 1
2 (ABC + CBA) for all A;B;C 2 A, is additive.
Moreover, if (I) is self-adjoint, then is a -derivation.

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