Self-Dual Cone Systems and Tensor Products

Tim Netzer
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Abstract

We prove the existence of self-dual tensor products for finite-dimensional convex cones and operator systems. This is a consequence of a more general result: Every cone system, which is contained in its dual, can be enlarged to a self-dual cone system. Using the setup of cone systems, we further describe how all functorial tensor products of finite-dimensional cones and operator systems explicitly arise from the minimal and maximal tensor product.
自双锥系统和张量产品
我们证明了有限维凸锥和算子系统的自偶张量积的存在性。这是一个更普遍结果的结果:每个包含在其对偶中的圆锥系统都可以放大为自偶圆锥系统。利用圆锥系统的设置,我们进一步描述了有限维圆锥和算子系统的所有趣向张量积是如何从最小和最大张量积中明确产生的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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