| C^＊-半内积的稳定性 |
| |
| 引用本文： | 侯恩冉,纪培胜.C^＊-半内积的稳定性[J].青岛大学学报(自然科学版),2009,22(4):1-4. |
| |
| 作者姓名： | 侯恩冉 纪培胜 |
| |
| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
| |
| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
| |
| 摘 要： | 主要讨论了左C^＊-模上（该C^＊-代数是含单位元的）C^＊-半内积的稳定性。利用一个控制函数函的限制，构造了一个新的C^＊-半内积T使得与给定的C^＊-半内积f满足‖f-T‖≤1/4φ^-,从而说明了C^＊-半内积满足Hyers-Ulam-Rassias稳定性。
|
| 关 键 词： | Hyers-Ulam-Rassias稳定性 C*-代数 C*-半内积 |
Stability of C*-semi-inner Products |
| |
| HOU En-ran,JI Pei-sheng.Stability of C*-semi-inner Products[J].Journal of Qingdao University(Natural Science Edition),2009,22(4):1-4. |
| |
| Authors: | HOU En-ran JI Pei-sheng |
| |
| Institution: | (College of mathematics, Qingdao University, Qingdao 266071, China) |
| |
| Abstract: | The stability of C^＊ -semi-inner products （the C^＊-algebra has a unit） is investigated. A new C^＊- semi-inner product T is constructed by the restriction of a control function φ^-. It is proved that the given C^＊ -semi-inner product f satisfies ‖f-T‖≤1/4φ^-.So the Hyers-Ulam-Rassias stability of the C^＊ -semi-inner products is founded. |
| |
| Keywords: | Hyers-Ulam-Rassias stability C^＊ -algebra C^＊ -semi-inner product |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
