disjoint relations 中文意思是什麼
disjoint relations
解釋
不相交關系-
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通過運算元來研究框架是框架研究的主要方法，為此我們引入預框架運算元和框架運算元，並列出各種不同框架和其相應預框架算了之間的對應關系，為後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。 -
Inspired by the work of james r. holub on [ 11 ], we come to some conclusions for the general traits, perturbation, alternatc dual of bcsselian frame, besides generalize some of stability result on riesz basis in view of [ 5 ], [ 9 ]. we show some perturbation results of riesz frame by adding a slightly strong condition to the ordinary ones. also, we study alternate dual and disjoint for frames which contain a riesz basis and discuss their relations. there are four sections in this paper
受文獻[ 11 ]的啟發，探討了besselian框架的一般性質、攝動、交錯對偶，得到了一系列結果在[ 5 ] ， [ 9 ]的基礎上推廣了risez基的穩定性結果，得出了riesz框架滿足攝動的條件。此外，研究了含riesz基框架的交錯對偶及其不交性質，討論了各種含riesz基框架的相互關系。
分享友人