| 书目名称 | Ramsey Methods in Analysis |
| 编辑 | Spiros A. Argyros,Stevo Todorcevic |
| 视频video | |
| 概述 | Helps young mathematicians to enter a very active area of research lying on the borderline between analysis and combinatorics.Description of a general method of building norms with desired properties, |
| 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
| 图书封面 |  |
| 描述 | This book contains two sets of notes prepared for the Advanced Course on R- sey Methods in Analysis given at the Centre de Recerca Matem` atica in January 2004, as part of its year-long research programme on Set Theory and its Appli- tions. The common goal of the two sets of notes is to help young mathematicians enter a very active area of research lying on the borderline between analysis and combinatorics. The solution of the distortion problem for the Hilbert space, the unconditional basic sequence problem for Banach spaces, and the Banach ho- geneous space problem are samples of the most important recent advances in this area, and our two sets of notes will give some account of this. But our main goal was to try to expose the general principles and methods that lie hidden behind and are most likely useful for further developments. The goal of the ?rst set of notes is to describe a general method of building norms with desired properties, a method that is clearly relevant when testing any sort of intuition about the in?nite-dimensional geometry of Banach spaces. The goal of the second set of notes is to expose Ramsey-theoretic methods relevant for describing the rough structure p |
| 出版日期 | Textbook 2005 |
| 关键词 | Banach Space; Banach spaces; Finite; Ramsey method; Ramsey theory; calculus; geometry; proof; combinatorics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-7643-7360-1 |
| isbn_softcover | 978-3-7643-7264-4 |
| isbn_ebook | 978-3-7643-7360-3Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
| issn_series | 2297-0304 |
| copyright | Birkhäuser Basel 2005 |
发表于 2025-3-21 19:10:48
