18.102 | Spring 2009 | Undergraduate

Introduction to Functional Analysis

Course Description

This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.
Learning Resource Types
Problem Sets with Solutions
Lecture Notes
An image showing three equations.
Equations in functional analysis. (Image by MIT OpenCourseWare.)