摘要
本文引入了Hilbert K-模上的广义框架,广义框架变换和正交投影等概念,研究了广义标准正交基,广义(正规)紧框架(广义Bessel序列)的分解,得到了广义框架变换和正交投影之间的关系.
In this paper,the concepts of generalized frame,generalized frame transform and orthogonal projection in Hilbert K-modules are introduced and the theories of decomposition of generalized standard orthogonal basis,generalized(normalized tight)frames(generalized Bessel sequence)are obtained.Finally,the relationship between generalized frame transform and orthogonal projection is studied.
作者
董芳芳
DONG Fangfang(College of Mathematical and Statistics,Tianshui Normal University,Tianshui 741001,China)
出处
《应用泛函分析学报》
2020年第3期175-181,共7页
Acta Analysis Functionalis Applicata
关键词
HILBERT
K-模
广义框架变换
正交投影
分解
Hilbert K-module
generalized frame transform
orthogonal projection
decomposition
