18.102 | Spring 2021 | Undergraduate

Introduction to Functional Analysis

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

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

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