MathematicsMATH 206 Analysis III

Banach spaces, Hahn-Banach theorem, uniform boundedness theorem, the open mapping and closed graph theorems, weak and weak* topology, the Banach-Alaoglu theorem, Hilbert spaces, self-adjoint operators, compact operators, spectral theory, Fredholm operators, spaces of distributions and the Fourier transform, and Sobolev spaces.

Requirements

Prerequisite(s): Courses 204 and 205 recommended as preparation. Enrollment is restricted to graduate students.

Credits

5

Quarter offered

Spring