The previous lecture in this series is here. The next lecture in this series is here.
Last time we discussed pre-Hilbert spaces (Hilbert spaces’ little brothers), and now we define Hilbert spaces (what pre-Hilbert spaces really want to be). With the notion of an inner product, we define analogous linear algebra tools for functional analysis.
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.