Meeting times: MWF 9:30 - 10:20 in MC 4063

Textbook: John Conway, A Course in Functional Analysis, 2nd ed.

Outline

 Point set topology (brief introduction)
 Banach Spaces (Hahn-Banach theorem,  Open Mapping theorem)
 Duality (weak topologies, Banach-Alaoglu theorem, Krein-Milman Theorem)
 Bounded Operators
 Spectral Theorem for compact normal operators on Hilbert space

Assignments

Assignment 1 ( the LaTeX code )

Assignment 2 ( the LaTeX code )

Assignment 3 ( the LaTeX code )

Assignment 4 ( the LaTeX code )

Bonus Problem

Assignment 5 ( the LaTeX code )

Comments and Solutions

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5