Video details loadedContinue
HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem
Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem
1:10:24
Up Next
Lecture 6: The Double Dual and the Outer Measure of a Subset of Real Numbers
Description: A first application of Zorn’s lemma is the existence of a Hamel basis. We then introduce the very useful Hahn-Banach theorem, which states that a bounded linear functional on a subspace can be continuously extended to the entire normed space.
Instructor: Dr. Casey Rodriguez