MA657
Functional Analysis
0.5 Credit

This couse is a study in Infinite dimensional vector spaces and operators between function spaces. Topics include: normed linear spaces ( Hilbert, Lebesgue and Sobolev spaces); locally convex spaces; dual spaces; operator theory; Banach algebras; spectral theory; distribution theory; representation theory; the Hahn Banach theorem for Hilbert spaces; strong, weak and weak* topologies; and fixed point theorems. Included are selected applications such as differential equations, and Fourier and other integral transforms.