| Instructor | Plamen Stefanov |
| Office | MATH 728 |
| stefanov@math.purdue.edu | |
| Meeting | TueThu, 10:30 AM - 11:45 AM in SCHM 309 |
| Office Hours | TueThu, 1:30-2:30 |
| Grader | Ethan Kessinger |
| Book | M.Reed and B.Simon, Functional Analysis, link |
HW1, due Tue, 1/27 at midnight on Brightspace
HW2, due Tue, 2/11 at midnight on Brightspace
HW3, due Tue, 3/23 at midnight on Brightspace
Midterm Exam: Tue 03/06, 8:00-9:30pm, FRNY G124
Chapter I: Preliminaries
I. Sets and functions - read it
2. Metric and normed linear spaces
3. Two convergence arguments - read it
Chapter II: Hilbert spaces
1. The geometry of Hilbert space
2. The Riesz lemma
3. Orthonormal bases
Chapter III: Banach spaces
1. Definition and examples
2. Duals and double duals
3. The Hahn-Banach theorem [Notes]
4. Operations on Banach spaces
5. The Baire category theorem, and its consequences
Chapter IV: Topological spaces
1. General notions
2. Nets and convergence
3. Compactness (part of it)
5. Weak topologies on Banach spaces
Chapter VI: Bounded operators
1. Topologies in bounded operators
2. Adjoints [Notes]