Math 546: Functional Analysis

Course Information

Professor: Kiril Datchev
Email: kdatchev@purdue.edu
Lectures: Mondays, Wednesdays, and Fridays, 12:30 to 1:20, in PHYS 202.
Office hours: 3-3:30 Tuesdays, 1:30-2 Wednesdays, 1:30-3 Fridays, or by appointment, in MATH 602.

Textbook: Functional Analysis, by Michael Reed and Barry Simon.

We will begin covering the main topics of the book in order, and later branch out into the Additional Reading. Grading is based on homework. There are no exams.

Homework

Homework is due on paper at the beginning of class on Wednesdays. Here are the assignments:

Homework 1, due January 15th.
Homework 2, due January 22nd.
Homework 3, due January 29th.
Notes on the mean ergodic theorem.
Homework 4, due February 12th.
Notes on the Hahn–Banach theorem.
Homework 5, due February 19th.
Notes on Fréchet spaces.
Homework 6, due February 26th.
Homework 7, due March 5th.
Homework 8, due March 12th.
Homework 9, due March 26th.
Notes on compact operators.
Notes on Sturm–Liouville operators.
Homework 10, due April 2nd.
Homework 11, due April 9th.

Additional Reading

Linear Functional Analysis, by Lars Hörmander.
Spectral Theory, by David Borthwick.

Finally, a list of general policies and procedures can be found here.