The previous lecture in this series is here. The next lecture in this series is here.
We define adjoint operators via the Riesz Representation theorem. This allows us to prove an analogue of the Rank-Nullity theorem for bounded linear operators. Then, we start exploring compact operators a little, which we will soon see are “almost matrices”.
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.