Parseval K-框架的一些等式与不等式

Some equalities and inequalities for Parseval K-frames

利用一个关于K-框架的等式与不等式的结论,给出Parseval K-框架的等式与不等式,然后引入Parseval K-框架的上指标与下指标的概念,并对Parseval K-框架的上指标与下指标的一些性质进行讨论.所得结果推广了已有的相关结论.

We give the equalities and inequalities for Parseval K-frames by using a conclusion about he equalities and inequalities for K-frames.Then we introduce the concept of upper and lower indexes of Parseval K -frames and discuss some properties of upper and lower indexes of Parseval K-frames.The conclusions given in this paper generalize the corresponding conclusions.