摘要
基于Hilbert空间标架理论,借助算子工具,用己有连续广义标架构造了新连续广义标架,并给出了有限个连续广义标架和构成新连续广义标架的充要条件,为构造连续广义标架提供了新方法。
Based on the frame theorem of Hilbert spaces,a large number of continuous generalized frames are constructed from existing continuous generalized frames by adopting operator methods.Moreover,a necessary and sufficient condition for the finite sum of continuous generalized frames to be a continuous generalized frame is obtained.The results provide new methods to construct continuous generalized frames.
作者
张伟
周静
ZHANG Wei;ZHOU Jing(School of Mathematics and Information Sciences,Henan University of Economics and Law,Zhengzhou 450046,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2021年第1期30-34,共5页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(11761079)
河南省高等学校重点科研项目(20A110013,21A110004).
关键词
标架
广义标架
连续广义标架
算子
frames
generalized frames
continuous generalized frames
operator
