Casey Rodriguez: Introduction to Functional Analysis, XXI. The Spectrum of Self-Adjoint Operators and the Eigenspaces of Compact Self-Adjoint Operators

The previous lecture in this series is here. The next lecture in this series is here.

There is quite a bit of spectral theory for special subsets of bounded linear operators which we start to prove, exploring properties of the spectrum for self-adjoint operators and self-adjoint compact operators. For the latter, we explore its eigenspaces.

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.