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arXiv · 2303.12510

Projective positivity of the function systems

Anar Dosi
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Abstract

The present paper is devoted to the projective positivity in the category of function systems, which plays a key role in the quantization problems of the operator systems. The main result of the paper asserts that every unital star-normed space can be equipped with the projective positivity. The geometry of the related state spaces is described in the case of Lp-spaces, Schatten matrix spaces, and Lp-spaces of a finite von Neumann algebra.

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BibTeXRIS

Anar Dosi. 2023-03-22. Projective positivity of the function systems. https://arxiv.org/abs/2303.12510

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