| 书目名称 | Nonarchimedean Functional Analysis |
| 编辑 | Peter Schneider |
| 视频video | |
| 概述 | Covers all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields.Gives the foundations of the theory and also develops the more advanced topics.Concise introdu |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that cour |
| 出版日期 | Book 2002 |
| 关键词 | bounded mean oscillation; calculus; functional analysis; locally convex vector space; nonarchimedean; num |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04728-6 |
| isbn_softcover | 978-3-642-07640-4 |
| isbn_ebook | 978-3-662-04728-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 19:28:16
