— Functional Analysis

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Hahn-Banach, Open mapping, Closed graph, Banach-Steinhaus, and Krein-Milman. Subspaces and quotient spaces. Projections. Weak and weak-star topologies. Compact and adjoint operators in Banach spaces. Fredholm theory. Functions of operators. Spectral theory of self-adjoint operators. Learning Activities: Lecture 3 hour(s), Term Paper. Grade Mode: Letter. MAT 202 — Functional Analysis (4 units) Course Description: Hahn-Banach, Open mapping, Closed graph, Banach-Steinhaus, and Krein-Milman. Subspaces and quotient spaces. Projections. Weak and weak-star topologies. Compact and adjoint operators in Banach spaces. Fredholm theory. Functions of operators. Spectral theory of self-adjoint operators. Prerequisite(s): MAT 201A ; MAT 201B . Learning Activities: Lecture 3 hour(s), Term Paper. Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Term Paper. Grade Mode: Letter. MAT 202 — Functional Analysis (4 units) Course Description: Hahn-Banach, Open mapping, Closed graph, Banach-Steinhaus, and Krein-Milman. Subspaces and quotient spaces. Projections. Weak and weak-star topologies. Compact and adjoint operators in Banach spaces. Fredholm theory. Functions of operators. Spectral theory of self-adjoint operators. Prerequisite(s): MAT 201A ; MAT 201B . Learning Activities: Lecture 3 hour(s), Term Paper. Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.