连续框架的等价刻画及Riesz型框架的新结果  

Equivalent Characterizations of Continuous Frames and New Results of Riesz-Type Frames

作　　者：相中启[1] 潘伟[1] 

机构地区：[1]华中师范大学数学与统计学院,中国武汉430079

出　　处：《湖南师范大学自然科学学报》2013年第2期16-20,共5页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10771082)

摘　　要：首先通过引入伪逆算子的相关结论,给出了连续框架的等价刻画.然后讨论连续框架的对偶框架,给出了预框架算子的伪逆算子的详细刻画.最后,利用Gabardo等人关于Riesz型框架的结果,得到了Riesz型框架的新结果.Two equivalent characterizations of continuous frame are given through introducing the correlated conclusions of pseudo-inverse operator. The duals of continuous frames are discussed. An explicit characterization for the pseudo-inverse of the pre-frame operator is presented. Finally, some new results for Riesz-type frames are also obtained by using the existing result of Gabardo et al. on Riesz-type frame.

关 键 词：连续框架 对偶Riesz型 

分 类 号：O174.2[理学—数学]