MATH-8330 (3) Functional Analysis 1

Introduces such topics as Banach spaces (Hahn-Banach theorem, open mapping theorem, etc.), operator theory (compact operators and integral equations, and spectral theorem for bounded self-adjoint operators), and Banach algebras (the Gelfand theory). Department enforced prereqs., MATH 6310 and MATH 6320. Instructor consent required for undergraduates. See also MATH 8340. Requisites: Restricted to graduate students only.