MATH 565 — Functional Analysis

Review of the basic theory of Banach and Hilbert spaces, L^p spaces, open mapping theorem,closed graph theorem, Banach-Steinhaus theorem, Hahn-Banach theorem, weak and weak-* convergence, weak convergence of measures, Riesz representation theorems, spectral theorem for compact self-adjoint operators, Fredholm theory, spectral theorem for bounded self-adjoint operators, Fourier series and integrals, additional topics.

• Rating: 4.20 out of 5 from 96 student reviews
• Difficulty: 2.21 out of 5
• Credits: 4
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Prerequisite(s): MATH 454 or MATH 564.