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Let A be a standard operator algebra on a Banach space of dimension 〉 1 and B be an arbitrary algebra over Q the field of rational numbers. Suppose that M : A → B and M^* : B → A are surjective maps such that {M(r(aM^*(x)+M^*(x)a))=r(M(a)x+xM(a)), M^*(r(M(a)x+xM(a)))=r(aM^*(x)+M^*(x)a) for all a ∈ A, x ∈ B, where r is a fixed nonzero rational number. Then both M and M^* are additive. 相似文献
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