Banach bimodule-valued positive maps: Inequalities and induced representations
Functional Analysis
2026-02-13 v5 Operator Algebras
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.
Keywords
Cite
@article{arxiv.2410.24113,
title = {Banach bimodule-valued positive maps: Inequalities and induced representations},
author = {Giorgia Bellomonte and Stefan Ivkovic and Camillo Trapani},
journal= {arXiv preprint arXiv:2410.24113},
year = {2026}
}