摘要
本文讨论在每个元素前乘以系数使之成为紧框架的广义框架问题,并称具有这种性质的广义框架为可伸缩的广义框架.首先,建立广义框架可伸缩成紧广义框架的几个充分和必要条件;其次,给出相应例子表明这些条件.
In this paper, we discuss the question of modifying a given generalized frame to yield a tight generalized frame by rescaling its elements, and call such a generalized frame a scalable generalized frame. In result, the necessary and sufficient conditions for a generalized frame to be scalable are established and some examples are provided to verify these conditions.
作者
李登峰
李艳婷
LI Dengfeng;LI Yanting(School of Mathematics and Computer,Wuhan Textile University,Wuhan,Hubei,430200,P.R.China;Department of Mathematics,Faculty of Science and Technology,University of Macao,Talpa,Macao,999078,P.R.China)
出处
《数学进展》
CSCD
北大核心
2019年第2期219-228,共10页
Advances in Mathematics（China）
基金
supported by NSFC(No.61471410)
the Construction Fund for the Subject Innovation Term of Wuhan Textile University(No.201401023)
关键词
框架
广义框架
紧广义框架
伸缩框架
frame
generalized frame
tight generalized frame
scalable frame
