关于g-框架的一些参数化不等式  

Some Parameterized Inequalities for g-Frames

作　　者：赵静[1] 李云章[1] ZHAO Jing;LI Yunzhang(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2018年第9期1262-1266,共5页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11271037)

摘　　要：运用算子理论方法得到了Hilbert空间中g-框架的一些带参数的不等式.在引入参数情况下,建立了g-框架及其正则对偶的一个不等式;得到了g-框架及其一般对偶的反向不等式.所得结果推广了现有文献的结果.The notion of g-frame is a generalization of that of frame.It has interested many mathematicians in recent years.In this paper,using the operator theory method,we obtained some parameterized inequalities for g-frames in Hilbert spaces.In the case of introducing parameters,we established an inequality for a g-frame and its canonical dual.And we obtained a converse inequality for a g-frame and its alternate duals.These obtained results generalize the existing ones

关 键 词：G-框架 正则对偶g-框架 对偶g-框架 

分 类 号：O174.2[理学—数学]