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 department’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)