【摘 要】
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An additive mapping 8 from a *-algebra A into a left A-module M is called an additive Jordan left *-derivation if δ(A2)= Aδ(A)+A*δ(A)for every A in A.In this paper,we prove that every additive Jordan left *-derivation from a complex unital C*-algebra into
【机 构】
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Department of Mathematics,Shaanxi University of Science and Technology,Shaanxi 710021,P.R.China
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An additive mapping 8 from a *-algebra A into a left A-module M is called an additive Jordan left *-derivation if δ(A2)= Aδ(A)+A*δ(A)for every A in A.In this paper,we prove that every additive Jordan left *-derivation from a complex unital C*-algebra into its unital Banach left module is equal to zero.An additive mapping δ from a *-algebra A into a left A-module M is called left *-derivable at G in A if 8(AB)= Aδ(B)+B*8(A)for each A,B in A with AB = G.We prove that every continuous additive left *-derivable mapping at the unit element I from a complex unital C*-algebra into its unital Banach left module is equal to zero.
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