# 18.102 Introduction to Functional Analysis

**Catalog description:**

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. Spectral theorem.

Also see the math departmentâ€™s subject overview for courses on analysis.

### Resources:

- Spring 2021 OCW (homework, exams, lecture notes, lecture videos)
- Spring 2021 in-class scribe lecture notes
- Spring 2017 class website (homework, exams, lecture notes)
- Spring 2009 OCW (homework, solutions, exams, lecture notes)