Grothendieck常数、量子相关矩阵和CCP函数的上界
This book concentrates on the famous Grothendieck inequality and the continued search for the still unknown best possible value of the real and complex Grothendieck constant (an open problem since 1953). It describes in detail the state of the art in research on this fundamental inequality, including Krivine's recent contributions, and sheds light on related questions in mathematics, physics and computer science, particularly with respect to the foundations of quantum theory and quantum information theory. Unifying the real and complex cases as much as possible, the monograph introduces the reader to a rich collection of results in functional analysis and probability. In particular, it includes a detailed, self-contained analysis of the multivariate distribution of complex Gaussian random vectors. The notion of Completely Correlation Preserving (CCP) functions plays a particularly important role in the exposition.
中文| 2024年9月13日| ISBN-10:3031572009 | 246页| Epub PDF（True）| 32 MB本书专注于著名的Grothendieck不等式，并继续寻找实数和复数Grothendiek常数的未知最佳可能值（自1953年以来一直是一个悬而未决的问题）。它详细描述了这一基本不等式的研究现状，包括Krivine最近的贡献，并阐明了数学、物理和计算机科学中的相关问题，特别是量子理论和量子信息理论的基础。这本专著尽可能地统一了真实和复杂的案例，向读者介绍了函数分析和概率的丰富结果。特别是，它包括对复高斯随机向量的多元分布的详细、自包含的分析。完全相关保持（CCP）功能的概念在论述中起着特别重要的作用。本站不对文件进行储存，仅提供文件链接，请自行下载，本站不对文件内容负责，请自行判断文件是否安全，如发现文件有侵权行为，请联系管理员删除。
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