The basic elements of our approach to frames are contain in section one . a sequence of victors on a hilbert space h is called a frame if there are constants , such that as it ' s a important way to frame study by operators , we introduce preframe operator and frame operator associated with a frame { fi } i n and show corresponding relations between several frames and their preframe operators . also , we introduce some definitions such as similarity of frames , weak disjoint , disjoint and strong disjoint 第一節(jié)闡述hilbert空間一般框架理論,所謂hilbert空間h上的框架是指h中的一列元素{ fi正n滿足: 3a , b > 0 , v正" ,有cx , atiftl ’ ( < f , fi > 1 ’三biif2 ii2 i = 1通過算子來研究框架是框架研究的主要方法,為此我們引入預框架算子和框架算子,并列出各種不同框架和其相應預框架算了之間的對應關系,為后文需要我們還列出了框架的相似,弱不交,不交和強不交的概念。