operator norm meaning in Chinese
算子范数
Examples
- 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 - Alternatively , we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology , thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices
这里把这一问题转化为考察有界线性算子空间与它的正则算子子空间在(一致)算子拓扑之下的关系，从而部分的回答了正则算子集合在有界线性算子空间中有多大的问题，解决了经典banach格上强非正则算子的存在性。