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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Mathematische Nachrichten

سال: 2021

ISSN: ['1522-2616', '0025-584X']

DOI: https://doi.org/10.1002/mana.201900274