| 赋范空间中广义角分线及其相关性质 |
| |
| 引用本文： | 刘庚,张敬信. 赋范空间中广义角分线及其相关性质[J]. 哈尔滨商业大学学报(自然科学版), 2013, 0(6): 741-742,745 |
| |
| 作者姓名： | 刘庚 张敬信 |
| |
| 作者单位： | [1]哈尔滨理工大学荣成学院,山东荣成264300 [2]哈尔滨商业大学基础科学学院,哈尔滨150028 |
| |
| 基金项目： | 哈尔滨理工大学教育教学研究项目（P201000115）. |
| |
| 摘 要： | 为说明不同角分线之间的关系对空间性质的影响,通过讨论B-角分线和D-角分线之间的关系证明若赋范线性空间中B-角分线与D-角分线保持一致,则该空间是欧氏空间.并且利用此结论得到了赋范空间成为欧氏空间的新的特征性质.
|
| 关 键 词： | 角分线 赋范空间 欧氏空间 角测度 |
Generalized angular bisectors and related properties in normed linear spaces |
| |
| LIU Geng,ZHANG Jing-xin. Generalized angular bisectors and related properties in normed linear spaces[J]. Journal of Harbin University of Commerce :Natural Sciences Edition, 2013, 0(6): 741-742,745 |
| |
| Authors: | LIU Geng ZHANG Jing-xin |
| |
| Affiliation: | Rongcheng College, Harbin University of Science and Technology, Rongcheng 264300, China; 2. School of Basic Science, Harbin University of Commerce, Harbin 150028, China) |
| |
| Abstract: | To illustrate how the different angular bisector types affect the properties of the un- derlying spaces, by discussing the relations between B - angular bisector and D - angular bi- sector, proved that the underlying normed linear space was a Euclidean space if B- angular bisector and D - angular bisector eoincide. Furthermore, new characterization properties are obtained to prove a normed linear Space was a Euclidean space. |
| |
| Keywords: | angular bisector angular measure normed linear spaces Euclidean spaces |
| 本文献已被 维普 等数据库收录！ |
|
