| 书目名称 | Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions | | 编辑 | Frank Oertel | | 视频video | | | 概述 | Illuminates in detail a still open question in mathematics.Highlights ideas which will lead to new, long-term research projects.Reveals surprising links to neighbouring fields, including quantum infor | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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..The prerequisites are a basic knowledge of standard functional analysis, complex analysis, probability, optimisation and some number theory and combinatorics. However, readers missing some background will be able to consult the generous bibliography, which contains numero | | 出版日期 | Book 2024 | | 关键词 | Grothendieck Inequality; Grothendieck Constants; Completely Correlation Preserving Functions; Schoenber | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-57201-2 | | isbn_softcover | 978-3-031-57200-5 | | isbn_ebook | 978-3-031-57201-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:46:38
