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special jordan algebra相关的网络例句

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We show that Jordan multiplicative bijective maps on prime operator algebrasmust be additive. As its application, we show that every Jordan * multiplicative bijec-tive map on every factor C~* algebra is a C~* isomorphism or a conjugate C~* isomorphism,in the special case of B, it must be a *-isomorphism or a conjugate *-isomorphism.We also prove the additivity of Jordan multiplicative bijective maps on nest algebras.

证明了素算子代数上Jordan可乘双射的可加性,利用这一结论刻画了因子C~*代数上的Jordan*可乘双射,我们的结果表明这样的映射一定是C~*同构或共轭C~*同构;证明了套代数上的Jordan可乘双射的可加性。

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