算子范数 meaning in English

operator norm

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 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。