Aug. 23, 2004

Math 7320, section 12118       Fall 2004

Functional Analysis

Classes: MW 1:00-2:30, 350 PGH

Instructor:

Andrew Török

Office:

672 PGH

Phone:

(713) 743-3478

E-mail:

torok@math.uh.edu

Office hours:

by appointment and ... (see home page)

We will use mainly the book ``A Course in Functional Analysis'' by John B. Conway. If needed, other books will be put on reserve in the library.

Some of the main topics of the course are: properties of Hilbert, Banach and locally convex spaces; their duals; bounded operators on Hilbert and Banach spaces; spectral theory; Fredholm operators. It might take more than one semester to discuss all these. Depending on the interest of the audience, other topics will also be considered.

Grading. There will be two midterms, the final, and regular homeworks. Some exams might be take-home. The lowest homework grade will be dropped. Make-up exams are offered only in exceptional situations.

The course grade is approximately based on a total score of 500 points (100 points for each midterm, 200 for the final, and 100 for the homeworks).

Please bring your student ID to all exams.

Homeworks. Problem assignments will be given throughout the semester. Even if you discuss the problems with your colleagues or me, you have to write the solutions on your own! Please write the solutions clearly and with care.

I will also assign problems that you do not have to turn in, but which are important for understanding the material. Try to work these problems by yourself, or together with your colleagues. You are encouraged to form study groups. If you have difficulties, ask questions in class (this helps everyone) or come to see me. Please try to get help as soon as you feel lost!

WWW. Information related to this course will be posted on the web. There is a link on my web-page, http://www.math.uh.edu/ ~ torok/.

I reserve the right to change these policies if I think it is necessary. I hope you enjoy the course.