completely positive linear maps

完全正线性映射

• 批准号: RGPIN-2014-03637
• 负责人: Choi, ManDuen
• 金额: $ 0.8万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=610558
• 关键词: completely; positive; linear; maps

As extensions from function theory to matrix theory and operator theory, there have been fruitful results on integrations, probability, tensor products and many aspects of non-commutative spectral analysis. Based on some previous results of the proposer, this research work will be carried out on a variety of topics on completely positive linear maps, in connection with numerical ranges and normal dilations, as related to convex structure, spectral variations, matrix synthesis, and harmonic analysis, by means of new approaches in operator theory. In particular, an intensive study is underwaybforn the non-commutative aspects of quantum information. There will also be an investigation on the crossed-products of C*-algebras related to the universal C*-algebras of two isometries/unitaries.

作为从功能理论到矩阵理论和操作者理论的扩展，在整合，概率，张量产物以及非共同光谱分析的许多方面取得了富有成效的结果。 基于提议者的一些先前结果，这项研究工作将与数值范围和正常扩张有关的各种主题，与凸结构，频谱变化，矩阵合成和谐波分析有关，通过操作者理论中的新方法相关。特别是，一项密集的研究正在接受量子信息的非共同方面。还将研究与两个异构体/单位的通用C* - 代数相关的C* - 代数的交叉产品。