| 书目名称 | Multilinear Operator Integrals |
| 副标题 | Theory and Applicati |
| 编辑 | Anna Skripka,Anna Tomskova |
| 视频video | |
| 概述 | Offers a comprehensive, structured treatment of the theory in both finite-dimensional and infinite-dimensional settings.Includes numerous applications of multilinear operator integral techniques, of i |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.. |
| 出版日期 | Book 2019 |
| 关键词 | Fréchet Derivative; Gâteaux; Multilinear Schur Multiplier; Multiple Operator Integral; Noncommutative Lp |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-32406-3 |
| isbn_softcover | 978-3-030-32405-6 |
| isbn_ebook | 978-3-030-32406-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:12:43
