Video details loaded
HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 22: The Spectral Theorem for a Compact Self-Adjoint Operator

Lecture 22: The Spectral Theorem for a Compact Self-Adjoint Operator

1:24:07

Description: We prove the Fredholm Alternative, the Maximum Principle and the Spectral Theorem for self-adjoint compact operators. The final result is analogous to the statement that every Hermitian matrix is diagonalizable. 

Instructor: Dr. Casey Rodriguez