18.102 Introduction to Functional Analysis

As taught in: Spring 2009

An image showing three equations.

Equations in functional analysis. (Image by MIT OpenCourseWare.)

Level:

Undergraduate

Instructors:

Prof. Richard Melrose

Course Features

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.