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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

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Lecture 6: The Double Dual and the Outer Measure of a Subset of Real Numbers

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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