Hilbert空间上的g-框架及单位分解  

G-frame and resolution of the identity in Hibbert space

作　　者：赵云[1] 陶常利[1] 

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《山东理工大学学报（自然科学版）》2015年第5期29-32,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：g-框架是对框架理论进一步的补充和丰富,在实际应用上更具有灵活性.利用算子理论和泛函分析的知识完善g-框架的一些结果并讨论了g-框架的判定和求g-框架下界的方法.其次,给出了单位分解的几个性质,并进一步研究了它与g-框架的关系.g-frame is the supplement and complement of the abstract frame theory,and have more flexibility in practical application. We improved some results of g-frame and discussed the judge of g-frames to provide a method for getting its lower bound. Secondly, some properties of resolution of the identity were given, and the relationship between g-frame and the resolution of the identity was further studied.

关 键 词：G-框架 单位分解 下界 

分 类 号：O177.1[理学—数学]