| SMALL INTO ISOMORPHISM FROM （C0） INTO C（Ω） TYPE |
| |
| 引用本文： | 定光桂.SMALL INTO ISOMORPHISM FROM （C0） INTO C（Ω） TYPE[J].数学物理学报(B辑英文版),2008,28(2):307-314. |
| |
| 作者姓名： | 定光桂 |
| |
| 作者单位： | School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
| |
| 基金项目： | Supported by National Natural Science Foundation of China （10571090） and the Research Fund for the Doctoral Program of Higher Education （20060055010） |
| |
| 摘 要： | If T is an isomorphism of （c0） into C（Ω） （where Ω is a sequentially compact and paracompact space, or a compact metric space in particular）, which satisfies the condition ｜｜T｜｜·｜｜T^-1｜｜ ≤ 1 ＋ε for some ε ∈ （0,1/5）, then T/｜｜T｜｜ is close to an isometry with an error less than 9ε. The proof of this article is simple without using the dual space or adjoint operator.
|
| 关 键 词： | 同型性 等距映射 C(Ω)型 数学问题 |
| 收稿时间： | 28 December 2005 |
Small into Isomorphism from (c0) into C(Ω) Type |
| |
| Ding Guanggui.Small into Isomorphism from (c0) into C(Ω) Type[J].Acta Mathematica Scientia,2008,28(2):307-314. |
| |
| Authors: | Ding Guanggui |
| |
| Institution: | School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
| |
| Abstract: | Small into isomorphism, isometry, almost isometry |
| |
| Keywords: | Small into isomorphism isometry almost isometry |
| 本文献已被 维普 ScienceDirect 等数据库收录！ |
