Functional Analysis

Instructor

Volker Runde

Office hours

by appointment

Syllabus

• locally convex spaces
• weak and weak* topologies for Banach spaces
• weak compactness in Banach spaces
• classical Banach spaces
• local structure of Banach spaces
• infinite-dimensional geometry

Prerequesites

Math 516 (or equivalent) and Math 447 (or equivalent; can be taken concurrently)

Textbooks

None required, but the following are recommended:
1. J. B. Conway, A Course in Functional Analysis. Springer Verlag, 1985
2. M. Fabian et al., Functional Analysis and Infinite-Dimensional Geometry. Canadian Mathematical Society, 2001.
3. W. Rudin, Functional Analysis. McGraw-Hill, 1991.

Grading

The grade will be based on regular homework assignments (50%) and a take-home final (50%).

Assignments and Solutions