In this course you will learn basic concepts of Functional Analysis, which, besides of being a beautiful mathematical discipline by itself, is an important tool in almost all fields of Mathematics.
I will assign problems on a regular basis. There will be no in-class exams. On November 16, I will distribute a take-home exam that will be due on November 30. The final grade will be assigned based on your homeworks and on the take-home exam. Both homework problems and the take-home exam will be posted on the web page. No formal point system will be used. The grade ``W'' will be awarded to any student who requests this grade before November 20. The grade of ``I'' can be awarded only in an exceptional case to a student who has a valid reason for not completing the course in time (illness, solid family reasons), and who has shown a passing performance
In the Spring, there will be no tests. However, everybody is expected to make a 30 minute presentation in the ened of the semester. The topics will be distributed right after the Spring Break.
Problem sets:
1. Due on September 9: Problem set 1
2. Due on September 28: Problem set 2
3. Due on October 19: Problem set 3
4. Due on November 13: Problem set 4
5. Due on February 8: Problem set 5
6. Due on March 4: Problem set 6
TAKE-HOME EXAM PROBLEMS
Texts and Class notes:
1. A subspace with no closed complement
(From "American Mathematical Monthly")
2. Yum-Tong Siu's notes on Tauberian
Theorems.