The previous lecture in this series is here. The next lecture in this series is here.
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)!
These videos are of a lecture course by Casey Rodriguez at the Massachusetts Institute of Technology in 2021, and made available as part of its OpenCourseWare initiative.