The previous lecture in this series is here. The next lecture in this series is here.
We move back to the general theory of Hilbert spaces with applications to concrete problems, discussing minimizers, orthogonal decomposition, projections, and one of the most fundamental “existence and uniqueness” results, the Riesz Representation Theorem!
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.