Hilbert空间上连续算子值框架的不相交性  

Disjointness for continuous operator-valued frames in Hilbert spaces

作　　者：李丹[1] 孟彬[1] 

机构地区：[1]南京航空航天大学理学院,江苏南京210016

出　　处：《山东大学学报（理学版）》2011年第4期103-107,112,共6页Journal of Shandong University(Natural Science)

基　　金：南京航空航天大学基本科研业务费专项资金资助(NS20100197)

摘　　要：引入Hilbert空间连续算子值框架的不相交性、强不相交性、强补框架的定义,讨论它们的性质;引入保不相交算子、强保不相交算子,证明了酉算子可逆算子是强保不相交算子,下有界算子余等距算子是保不相交算子。The paper introduces the definitions of continuous operator-valued frame disjointness and strong disjointness strong complement and discusses their properties in Hilbert spaces. Then disjointness-preseving operators and strong dis- jointaess-preseving operators are introduced. It proves that unitary operators and invertible operators are strong disjoint- ness-preseving operators and lower bounded operators and isometric operators are disjointness-preseving operators.

关 键 词：连续算子值框架 不相交性 保不相交算子 

分 类 号：O177.1[理学—数学]