测度框架的和与扰动性  

The Sum and Perturbation of Measure Frames

作　　者：李春芳 孟彬[1] 

机构地区：[1]南京航空航天大学数学系,南京211106

出　　处：《西安文理学院学报（自然科学版）》2017年第6期1-4,共4页Journal of Xi’an University(Natural Science Edition)

基　　金：国家自然科学基金资助(11671201)

摘　　要：欧氏空间上的测度框架是经典向量框架的一种推广.但由于测度和向量有本质不同,因此研究方法也有很大的不同.文中主要从框架理论的角度来研究测度框架的扰动性,并得到了若干结果.讨论了测度框架和的性质,并且给出了测度框架的典则对偶及其框架界.The measure frames for Euclidean space is a generalization of the classical vector frames in Hilbert space. Since the essential difference between vectors and measures,the different methods are adopted in this study. In this paper,the perturbation of measure frames is investigated by using operator theory and got some results. The properties of sum of measure frames are discussed,and the canonical duality and the bounds of the frames are also achieved.

关 键 词：测度 框架 算子 框架界 典则对偶 

分 类 号：O177.1[理学—数学]