摘要
引入了Hilbert空间H中广义框架的非交性、强非交性,讨论了它们的一些性质;并且引入了保非交算子、强保非交算子,证明了酉算子、可逆算子是强保非交算子,下有界算子、余等距算子是保非交算子.
We introduce disjointness of generalized frames and disjoint-preserving operators. Futhermore, some properties of disjointness of generalized frames are discussed, It is proved that some linear and bounded operators are disjoint-preserving operators.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第16期209-213,共5页
Mathematics in Practice and Theory
基金
山西省重点扶持学科基金项目(20055026)
运城学院重点科研项目(20060103)
关键词
广义框架
广义框架的非交性
保非交算子
generalized frames
disjointness of generalized frames
disjoint-preserving operators
