文章基本信息
- 标题：Bounded sets in fast complete inductive limits
- 本地全文：下载
- 作者：Jan Kucera ; Carlos Bosch
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1984
- 卷号：7
- 期号：3
- 页码：615-617
- DOI：10.1155/S016117128400065X
- 出版社：Hindawi Publishing Corporation
- 摘要：
Let E 1 ⊂ E 2 ⊂ … be a sequence of locally convex spaces with all identity maps: E n → E n + 1 continuous and E = indlim E n fast complete. Then each set bounded in E is also bounded in some E n iff for any Banach disk B bounded in E and n ∈ N , the closure of B ⋂ E n in B is bounded in some E m . This holds, in particular, if all spaces E n are webbed.
