借助 Von Neumann 模通过张量膨胀构造 CP-映射的扩张
算子代数
2007-05-23 v2
摘要
我们应用 Hilbert 模方法证明正规完全正映射容许弱张量膨胀。借助弱张量膨胀与 CP-映射扩张之间的对偶性，我们得到了某些扩张的存在性证明。我们指出，这种对偶性是 von Neumann 双模与其换位子之间一种深远对偶性的一部分，其中其他已知和新的对偶性也找到了它们自然的共同位置。
引用
@article{arxiv.math/0311110,
title = {Constructing Extensions of CP-Maps via Tensor Dilations with the Help of Von Neumann Modules},
author = {Rolf Gohm and Michael Skeide},
journal= {arXiv preprint arXiv:math/0311110},
year = {2007}
}
备注
To appear in Infinite Dimensional Analysis and Quantum Probability 2005. This version replaces the first one submitted under the titel "Normal CP-Maps admit Weak Tensor Dilations". The old titel was missleading, as it puts accent onto the wrong things. We rewrote the abstract and largely the second half of the introduction. A couple of typos has been eliminated, but for the rest the main body of the paper remained unchanged