累次极限可交换的一个充分条件

A Sufficient Condition for the Interchangeability of Iterated Limit

研究二重极限与累次极限,一致收敛与累次极限的关系,把一致收敛的概念推广到弱一致收敛,进而给出累次极限可交换的一个充分条件。

The limit theory is a fundamental tool and important ideological method in function analysis. Whether the two different limits can be interchangeably operated or not is a most important problem in math- ematic analysis. It is widely used in mathematic analysis. Many mathematic solutions are attributed to the in- terchangeability of iterated limit. For example, the analysis of the limit function is eventually attributed to the of operation order of the changeability.