Jordan Maps on Standard Operator Algebras

被引：0
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作者：
Pei Sheng JI Shu Juan ZHOU School of Mathematical Sciences Qingdao University Shandong P R China [266071 ]
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来源：
数学研究与评论 | 2010年 / 30卷 / 01期
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中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
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摘要：
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.
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页码：110 / 118
页数：9
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