Hilbert空间中Bessel集的一些等式和不等式  

Some Equalities and Inequalities of the Continuous Bessel set in Hilbert Spaces

作　　者：牛雅琴[1] 姚喜妍[2] 侯美琴[1] 

机构地区：[1]山西师范大学数学与计算机学院,山西临汾041000 [2]运城学院应用数学系,山西运城044000

出　　处：《广西民族大学学报（自然科学版）》2017年第2期52-57,共6页Journal of Guangxi Minzu University ：Natural Science Edition

摘　　要：建立了Hilbert空间上Bessel集与连续框架及其对偶连续框架在结构和形式上不同于g-框架已有等式和不等式的几个新的等式和不等式,并给出不等式等号成立的充要条件.In this paper, several new equalities and inequalities that are different from the g-frames of the existing equalities and inequalities in structure and form are established for the continuous Bessel set and continuous frames and its dual equations continuous frames. We also give a necessary and sufficient condition that the equality occurs in one of these inequalities.

关 键 词：连续框架 Bessel集 连续对偶框架 框架算子 

分 类 号：O177.1[理学—数学]