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Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions

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  • Svante Janson

Abstract

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.

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  • Svante Janson, 2021. "Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions," Mathematische Nachrichten, Wiley Blackwell, vol. 294(8), pages 1484-1522, August.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:8:p:1484-1522
    DOI: 10.1002/mana.201900274
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    1. ., 2017. "A positive theory of political economy with applications," Chapters, in: A General Theory of Economic Development, chapter 8, pages 151-174, Edward Elgar Publishing.
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