LINEAR *-DERIVATIONS ON JB*-ALGEBRAS

It is shown that for a derivation f(x1ˆ*ˆxj−1ˆxjˆxj+1ˆ*ˆxk)=∑j=1kx1ˆ*ˆxj−1ˆxj+1ˆ*ˆxkˆf(xj)on a JB*-algebra B, there exists a unique ℂ-linear *-derivation D : B → B near the derivation.