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

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Описание: MIT 18.102 Introduction to Functional Analysis, Spring 2021
Instructor: Dr. Casey Rodriguez

View the complete course: https://ocw.mit.edu/courses/18-102-in...
YouTube Playlist: • Lecture 4: The Open Mapping Theorem and th...

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).

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

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