L-p空间的Banach框架和P-Riesz基

Banach frame and P-Riesz basis in L-p spaces

基于L-p空间是一类可分的B anach空间所具备的特点,定义了L-p空间上的lp-框架、B anach框架。H ilbert空间的框架具有很多好的性质,根据L-p空间与h ilbert空间的一些近似性,推广h ilbert空间的框架理论给出了L-p空间上的框架性质,并讨论了B anach框架与p-R iesz基的关系。

L-p spaces are kinds of separable Banach space. Banach frame and l^P-frame in L-p spaces are defined with L-p spaces＇ characteristics. The nice properties of frames in Hilbert spaces have been discovered. In light of the similarity between L-p spaces and Hilbert spaces, we have explored the properties of l^P-frame and Banach frame in L-p spaces and given a discussion of the relation between Banach frame and P-Riesz basis in this paper.