Math 113

Functional Analysis

Last updated March 06, 2017 14:37:17 EST

**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 March 06, 2017 14:37:17 EST