MATH 5350 - Applied Functional Analysis

3 Credits (Minimum) 3 Credits (Maximum)

Basic concepts, methods, and applications of functional analysis. Complete metric spaces, contraction mapping, and applications. Banach spaces and linear operators. Inner product and Hilbert spaces, orthonormal bases and expansions, approximation, and applications. Spectral theory of compact operators, including self adjoint and normal operators. Prer., MATH 4320 or MATH 5320. Meets with MATH 6350. Graduate students only.