DOI: 10.21276/sjpms.2018.5.2.7

Pages: 145-148

Hahn-Banach Theorem is a famous extension theorem of linear functional analysis. Generally, the proof of the Hahn-Banach Theorem is completed through Zorn Lemma, which doesn’t matter with the convex analysis. But it is in fact equivalent to Separating Hyperplane Theorem which can also be considered as the geometric form of Hahn-Banach Theorem. In this paper, we try to use the Separating Hyperplane Theorem to give another proof on the Hahn-Banach Theorem