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Lecture 2: Bounded Linear Operators

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Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem

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Description: An extremely important example of a Banach space is the space of bounded linear operators. We introduce this space with the corresponding operator norm, allowing us to define the notion of a functional (the same “functional” in the title of the course)!

Instructor: Dr. Casey Rodriguez