Hilbert C^(*)-模中框架的擦除和刻画  

Erasures and Characterizations of Frames in Hilbert C^(*)-modules

作　　者：相中启 陈裕先 林春霞 XIANG Zhongqi;CHEN Yuxian;LIN Chunxia(School of Mathematics and Computer,Xinyu University,Xinyu,Jiangxi,338004,P.R.China;Academic Affairs Office,Xinyu University,Xinyu,Jiangxi,338004,P.R.China)

机构地区：[1]新余学院数学与计算机学院 [2]新余学院教务处

出　　处：《数学进展》2024年第3期588-598,共11页Advances in Mathematics（China）

基　　金：Supported by NSFC(Nos.12361028,11761057);Science Foundation of Jiangxi Education Department(Nos.GJJ202302,GJJ202303)。

摘　　要：本文给出了两个充分必要条件,使得当Hilbert C^(*)-模中的框架擦除一个元素后其剩余部分可构成一个新框架.此外给出了Hilbert C^(*)-模中框架的几个新刻画,与此同时,给出了关于该主题的一个已有结果的完整证明.In this paper,we present two necessary and sufficient conditions under which the remainder of a frame in a Hilbert C^(*)-module can be a new frame with one element erasure.We also give several new characterizations on frames in Hilbert C^(*)-modules and,meanwhile,we provide a complete proof to an existing result on this topic.

关 键 词：Hilbert C^(*)-模 框架 擦除 MOORE-PENROSE逆 

分 类 号：O174.2[理学—数学]