Math 113
Functional Analysis
Last updated July 15, 2022 11:51:41 EDT
Announcements:
- Our first class meeting is Monday, March 27, 2017, at 2:10pm.
Syllabus
The following is a tentative syllabus for the course.
We will almost certainly deviate from it as the mood arises.
More current information my find its way onto the Homework
Assignments page.
- Metric Spaces (6 Lectures)
- Definitions and Examples
- Metric Topology
- Complete Spaces
- Ascoli-Arzela Theorem
- Baire Category Theorem
- Banach Spaces (15 Lectures)
- Normed Linear Spaces
- Banach Spaces
- Linear Operators
- Hahn Banach Theorem
- Duality
- Banach Algebras
- C*-algebras
- Hilbert Spaces (3 Lectures)
- Definitions
- Rieze Representation Theorem
- Orthonormal bases
- Adjoints
- Concrete C*-algebras
- Elements of Harmonic Analysis
- TBA: Interest and time dependent.
Dana P. Williams
Last updated July 15, 2022 11:51:41 EDT