School of Mathematics
Georgia Institute of Technology
Atlanta, GA 303320160
h e i l @ m a t h . g a t e c h . e d u
MATH 6338 (Real Analysis II),
Summer 2008

Course Syllabus
 Background and supplementary materials:
 LECTURE NOTES:
 1. Metrics, Norms, Inner Products, Banach Spaces.
 2. The L^p Spaces.
 3. Hilbert Spaces.
 4. Basic Operator Theory.
 5. Dual Spaces.
 6. HahnBanach.
 7. Baire Category, Uniform Boundedness, Open Mapping, and Closed Graph.
 8. Schauder Bases and Frames
 9. Weak Convergence and Weak Topology
 HOMEWORK:
 EXAMS:
 Our
midterm exam is scheduled for Monday, June 16.
It will cover the material presented in class through the dual space
of L^p (reflexivity will not be included).
You are allowed to bring one 8.5x11 sheet of notes to the exam
(you can write on both sides).
 Our final exam is scheduled to take place at 8:00 a.m., Tuesday, July 29.
The final is comprehensive, except that material on weak topologies will
not be included (though weak convergence of sequences is included).
You are allowed to bring one 8.5x11 sheet of notes to the exam
(you can write on both sides).