MATH 206Analysis 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.
Prerequisite(s): MATH 204 and MATH 205 recommended as preparation. Enrollment is restricted to graduate students.
Find a section and add it to your scheduleLive seat counts, time-conflict checks and the walk from your previous class.
When it runs
Spring 2026Open Spring 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed 9:50am–11:25am | McHenry Clrm 1270 | T. Ehrhardt | Open 13/20 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Torsten Ehrhardt | 2.8 / 5 | 3.7 / 5 | 75% | 40 |
From RateMyProfessors, which is student-submitted and not a survey. Small review counts move a long way on one bad quarter.
SlugAtlas is a student project and is not affiliated with, endorsed by, or operated by UC Santa Cruz. Course data is a snapshot of the public class search; myUCSC is authoritative for enrolment.