We define new norms for symmetric tensors over ordered normed spaces; these norms are defined by considering linear combinations of tensor products or powers of positive elements only. Relations between the different norms are studied. The results are applied to the problem of representing a finitely exchangeable distribution as a mixture of powers, i.e., mixture of distributions of i.i.d. sequences, using a signed mixing measure.

中文翻译：

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有序赋范空间、极化常数和可交换分布上的张量范数

我们为有序赋范空间上的对称张量定义了新范数；这些范数是通过仅考虑张量积或正元素的幂的线性组合来定义的。研究了不同规范之间的关系。使用带符号混合测度，将结果应用于将有限可交换分布表示为幂的混合，即 iid 序列分布的混合的问题。