Banach and Hilbert Spaces

Fall, 2015/Spring, 2016

Instructor: Lennie Friedlander

Office: ENR2, S351, tel: 6212742, e-mail friedlan@math.arizona.edu

Class meets on MWF from 1:00 to 1:50 in MATH 501/514

Textbook: Functional Analysis, by Peter Lax

Office hours: M 10--10:50, F 2:00--2:50



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.