Meeting times:        MW  2:30 – 3:50  in MC 4040,  plus Friday Oct.14.

Final Exam:           Thursday Dec. 15, 9:00--11:30 in MC 4041

Teaching Assistant:   Zsolt Tanko, MC 5331

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

Alternate References: Peter Lax, Functional Analysis
		      Gert Pedersen, Analysis Now
                      Laurent Marcoux, Notes for PMATH 753 and PMATH 810

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
   Compact operators and Fredholm theory
   Spectral Theorem for compact normal operators on Hilbert space

Assignments

Assignment 1 ( the LaTeX code ) Due Wednesday Sept. 28, in class.

Assignment 2 ( the LaTeX code ) Due Monday Oct. 17, in class.

Assignment 3 ( the LaTeX code ) Due Wednesday Oct.26, in class.

Assignment 4 ( the LaTeX code ) Due Wednesday Nov. 9, in class.

Assignment 5 ( the LaTeX code ) Due Wednesday November 16, in class.

Assignment 6 ( the LaTeX code ) Due Wednesday November 30 in class.

Comments and Solutions

Solutions 1

Solutions 2

Solutions 3

Solutions 4

Solutions 5

Solutions 6

Topics for Grad Student Talks

Possible Topics

Topics 1, 2, 3, 7, 11, 15, 17 have been selected.

Talks will be held in MC 5479,

	Weds. Dec. 7, 	 2:30–3:30
	Thurs. Dec. 8, 	 2:30–3:30 
	Fri. Dec. 9, 	10:30–12:00