Projective positivity of the function systems
Operator Algebras
2023-03-23 v1 Information Theory
Functional Analysis
math.IT
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2303.12510,
title = {Projective positivity of the function systems},
author = {Anar Dosi},
journal= {arXiv preprint arXiv:2303.12510},
year = {2023}
}