关于“共鸣定理”的注

A Note on the Uniform Boundedness Principle

将 Banach- Steninhaus定理的条件减弱 ,并推广到第二纲的空间上 ,使其便于理解易懂 。

We simplify the conditions of Banach Steninhaus Theorem and extend the theorem to second category space so that the theorem is easier to be understood and its application is widened.