Abstract We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the correspondence between orthosymmetry and orthogonal additivity.

中文翻译：

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估值：从正交可加性到正对称

摘要 我们证明了向量格上的多项式估值对应于正交多线性映射。因此，我们获得了正交对称和正交可加性之间对应关系的简明证明。