| 单位球面间的等距延拓 |
| |
| 引用本文： | 安桂梅.单位球面间的等距延拓[J].数学学报,2004,47(4):653-656. |
| |
| 作者姓名： | 安桂梅 |
| |
| 作者单位： | 南开大学数学科学学院,天津,300071 |
| |
| 基金项目： | 国家自然科学基金(10271060)，教育部博士点基金(20010055013) |
| |
| 摘 要： | 本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。进而,刻画了光滑的自反空间的单位球面到其共轭空间的单位球面上的等距算子。
|
| 关 键 词： | 等距延拓 可达范 光滑点 |
| 文章编号： | 0583-1431(2004)04-0653-04 |
On Extension of Isometries Between the Uuit Spheres |
| |
| Gui Mei AN School of Mathematical Sciences,Nankai University,Tiaviin ,P. R. China.On Extension of Isometries Between the Uuit Spheres[J].Acta Mathematica Sinica,2004,47(4):653-656. |
| |
| Authors: | Gui Mei AN School of Mathematical Sciences Nankai University Tiaviin P R China |
| |
| Institution: | Gui Mei AN School of Mathematical Sciences,Nankai University,Tiaviin 300071, P. R. China |
| |
| Abstract: | In this paper, we show that the isometry between the unit spheres of certain
normed space and its dual space can be extended to a real linear isometry on the whole
space. Furthermore, we give a characterization of the isometry from the unit sphere of
a smoothly normed reflexive Banach space onto that of its dual space. |
| |
| Keywords: | Isometric extension Attainable norm Smooth point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
