Banach空间上一个定理的推广

The Extension of a Theorem in Banach Space

针对Banach空间上一个定理,指出其命题条件过强,并在减弱后的条件下,运用Zorn引理给出证明,从而对该定理进行了推广.

The condition of the proposition is too strong in a theorem in Banach space. The conclusion has been proved in Zorn lemma after the condition was weakened. Thus the theorem has been extended.