Math 502 Course Notes Page


(1) Here are some notes on Topology. These mostly cover material that I go over at the begiining of Math 501 when I teach it. An exception is Section 4.1 is on Baire's Theorem, on which we have been relying heavily in the beginning of Math 502. Other sections will be important as we proceed, and the exercises at the end vare suggested, but will not be collected in this class.

(2) Here are some notes on Hilbert Sapce.

(3) Here are some notes on topological vector sapces and Banach spaces..

(4) Here are some notes on compact operators on Hilbert spaces, including the Hilbert-Schmidt Spectral Theorem..

(5) Here are some notes on convexity and Banach spaces, including L^p spaces..

(6) Here is a compilation of the notes so far into an organized text.. This will be updated as we go along. It incorporates solutions to most of the homework and test problems so far.

(7) Here are some notes on topics in classical analysis, including the Fourier transform..

(8) Here are some notes on the Riesz-Markoff Theorem and related topics..