测度框架的若干性质  

Some properties of measure frames

作　　者：李春芳 孟彬[1] LI Chun-fang;MENG Bin(Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Jiangsu Province,Nanjing 210016,Jiangsu,China)

机构地区：[1]南京航空航天大学数学系,江苏南京210016

出　　处：《山东大学学报（理学版）》2018年第12期99-104,113,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11671201)

摘　　要：测度框架是Hilbert空间上经典框架的推广,但同时也有着本质的区别。本文主要从框架算子理论的角度来研究测度框架的等式与不等式性,同时讨论了测度框架的提升、近似对偶及伪对偶。Measure frames is a generalization of vector frames in Hilbert spaces,but there are essential differences between them.Some inequalities and equalities are obtained for measure frames from the perspective of frame operator theory. At the same time,we also discuss the shift of a measure frame to a tight measure frame and the approximately dual frames and pseudo-dual frames.

关 键 词：测度框架 算子 提升 伪对偶 

分 类 号：O177.1[理学—数学]