regular operator meaning in Chinese
正则算子
Examples
- A class of lattice - subspace in regular operator space
正则算子空间上的一类格子空间 - The main purpose of the thesis is to study the existence of strongly non - regular operators between classical banach lattices
最后，本文的主要目的是研究经典banach格上强非正则算子的存在性。 - Chapter 4 is mainly about the properties of regular operators . we give two examples to show that regular norm and operator norm may not equal to each other and the module for operator on banach lattice may not exist firstly
第四章研究了一类正则算子的性质，首先行出例子说明正则范数与算子范数一般不相等，而且对任意算子不一定有模存在 - Then the relation of regular operators , bounded operators and linear operators on banach lattices are given , that is lr ( e , f ) lb ( e , f ) l ( e , f ) ; order dual , operator dual and algebra dual are related , i . e . e " c e * c e #
然后给出banach格空问上正则算子，有界算子和线性算子的关系： lve ； f ） of 。 ef ） clp ， f ） ；给出了序对偶，算子对偶和代数对偶的关系： e ’ ce ” ce个然后引入赋值映射人证明了j是保格运算的格同态 - Then the order bound norm imposed on the order bounded operators between two banach lattices is fully studied . the results include the relationships between the order bound norm and the other two types of norms of a regular operator ; respectively , and a condition under which the space of order bounded operators is a dedekind complete banach lattice
接着讨论了banach格间序有界算子的序有界范数，详细论证了正则算子的(一致)算子范数、正则范数和序有界范数三者之间的关系，并得到了序有界算子空间在序有界范数之下是dedekind完备banach格的一个条件。