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。
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.
出处
《青岛大学学报(自然科学版)》
CAS
2009年第4期1-4,共4页
Journal of Qingdao University(Natural Science Edition)
基金
国家自然科学基金(10675086)
山东省自然科学基金(Y2006A03)