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arXiv · 2410.24113

Banach bimodule-valued positive maps: Inequalities and induced representations

Giorgia Bellomonte·Stefan Ivkovic·Camillo Trapani
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Abstract

In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace-class operators and the spaces of bounded linear operators from a von Neumann algebra into the dual of another von Neumann algebra. Also, we deduce some new inequalities for these maps.

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Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani. 2025-03-14. Banach bimodule-valued positive maps: Inequalities and induced representations. https://doi.org/10.1007/s43037-025-00465-y

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