First course in graduate functional analysis. Locally convex spaces, weak topologies. Convexity and fixed point theorems. Banach algebras and C*-algebras. Operators on Hilbert spaces (bounded, unbounded, compact, normal). Spectral theory of operators, semigroups of operators. Fredholm theory.
Before you enroll
Prerequisites
From the catalog: “MATH 240C. Students who have not completed MATH 240C may enroll with consent of instructor.”