Brown Univ. Spring 2010 Math 222 |
Functional Analysis |
| Instructor. Justin Holmer. |
| Office Hours. TBA. |
| Lectures. K hour (TuTh 2:30-3:50) in Kassar 105, beginning Thurs, Jan. 28 and ending Tues May 11. |
| Short description. The basics of Hilbert space theory, including orthogonal projections, the Riesz representation theorem, and compact operators. The basics of Banach space theory, including the open mapping theorem, closed graph theorem, uniform boundedness principle, Hahn-Banach theorem, Riesz representation theorem (pertaining to the dual of C_0(X)), weak and weak-star topologies. Various additional topics, possibly including Fourier series, Fourier transform, ergodic theorems, distribution theory, and the spectral theory of linear operators. |
| Recommended textbooks.
E. Stein and R. Shakarchi, Real
Analysis. P. Lax, Functional Analysis. |
| Course schedule. |
| Homework. |
| Exams. |