The Hahn-Banach Theorem

In this lecture we state and prove thee Hahn-Banach Theorem in general linear spaces. We apply it to prove the existence of extended limits on the space of bounded sequences. 0:00 Introduction 0:40 Hahn-Banach Theorem 6:42 Partially ordered sets 18:48 Zorn's lemma 21:19 Proof of Hahn-Banach Theorem 47:50 Extended limits