【预订】Quantum f-Divergences in von Neumann Algebras 9789813341
国外库房发货,通常付款后3-5周到货!
/ 2021-02-16
Product Details 基本信息 ISBN-13 书号 9789813341982 Author 作者 Hiai Format 版本 精装 Pages Number 页数 194页 Publisher 出版社 Springer Berlin Heidelberg Publication Date 出版日期 2021-02-16 Language 语种 英语 Book Contents 内容简介 Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f-divergences, all of which are defined in terms of (operator) convex functions f on (0,) andhave respective mathematical and information theoretical backgrounds. The ?-Rényi relative entropy and its new version called the sandwiched ?-Rényi relative entropy have also been useful in re
¥897.00
【预订】Means of Hilbert Space Operators 9783540406808
国外库房发货,通常付款后3-5周到货!
/ 2003-08-19
Product Details 基本信息 ISBN-13 书号 9783540406808 Author 作者 Hiai Format 版本 平装-胶订 Pages Number 页数 156页 Publisher 出版社 Springer Berlin Heidelberg Publication Date 出版日期 2003-08-19 Language 语种 英语 Book Contents 内容简介 The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller’s characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.
¥363.00
【预订】The Semicircle Law, Free Random Variables and Entropy 97
美国库房发货,通常付款后3-5周到货!
/ 2006-03-23
Product Details 基本信息 ISBN-13 书号 9780821841358 Author 作者 Fumio Hiai Format 版本 平装-胶订 Pages Number 页数 376页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2006-03-23 Language 语种 英语 Book Contents 内容简介 The book treats free probability theory, which has been extensively developed since the early 1980s. The emphasis is put on entropy and the random matrix model approach. The volume is a unique presentation demonstrating the extensive interrelation between the topics. Wigner’s theorem and its broad generalizations, such as asymptotic freeness of independent matrices, are explained in detail. Consistent throughout the book is the parallelism between the normal and semicircle laws. Voiculescu’s multivariate free entropy theory is presented with full proofs and extends the results to unitary operators. Some applications to operator algebras are
¥1129
【预订】Quantum f-Divergences in von Neumann Algebras 9789813342
国外库房发货,通常付款后3-5周到货!
/ 2022-01-27
Product Details 基本信息 ISBN-13 书号 9789813342019 Author 作者 Fumio Hiai Format 版本 平装-胶订 Pages Number 页数 null页 Publisher 出版社 Springer Berlin Heidelberg Publication Date 出版日期 2022-01-27 Product Dimensions 商品尺寸 9.21 x 6.14 x 0.44 Shipping Weight 商品重量 0.65 Language 语种 其它(含多语) Book Contents 内容简介 Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f-divergences, all of which are defined in terms of (operator) convex functions f on (0,∞) and have respective mathematical and information theoretical backgrou
¥895.00
预订 Means of Hilbert Space Operators 9783540406808
海外仓库发货,通常付款后4-9周到货!
/ 2003-08-19
/ Springer
图书信息 书号: 9783540406808 作者: Fumio Hiai 装帧: 平装-胶订 页数: 156页 出版社: Springer 尺寸: 22.9 x 15.2 x 23.3 cm 出版日期: 2003-08-19 重量: 454g 语种: 其它(含多语) 内容简介 The monograph is devoted to a systematic study of means of Hilbert space ope
¥489.00