| 书目名称 | Spaces of Continuous Functions |
| 编辑 | G.L.M. Groenewegen,A.C.M. van Rooij |
| 视频video | |
| 概述 | The book contains many exercises. Some are merely illustrations of the theory, others lead to results used in the text. Solutions to the latter and hints for some of the former are to be found at the |
| 丛书名称 | Atlantis Studies in Mathematics |
| 图书封面 |  |
| 描述 | The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given..Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem..The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.. |
| 出版日期 | Book 2016 |
| 关键词 | Spaces of Continuous Functions; Compact Hausdorff Spaces; Riesz Spaces; Representation Theorems; Weak To |
| 版次 | 1 |
| doi | https://doi.org/10.2991/978-94-6239-201-4 |
| isbn_ebook | 978-94-6239-201-4Series ISSN 1875-7634 Series E-ISSN 2215-1885 |
| issn_series | 1875-7634 |
| copyright | Atlantis Press and the author(s) 2016 |
发表于 2025-3-21 18:33:37
