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HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 4: The Open Mapping Theorem and the Closed Graph Theorem

Lecture 4: The Open Mapping Theorem and the Closed Graph Theorem

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Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem

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Description: We prove two more fundamental “theorems with names” as Casey puts it: the Open Mapping Theorem and the Closed Graph Theorem. We conclude with the notion of a Hamel basis for a vector space (finite or infinite dimensional).

Instructor: Dr. Casey Rodriguez