62-513/498: Functional Analysis II/Introduction to Operator Theory,
Winter 2013
Instructor: Dr. Mehdi S. Monfared
Office: 9-115 Lambton Tower, email: monfared@uwindsor.ca
Office Hours: Mondays and Wednesdays: 2:00 - 4:00, or by appointment.
Classes: Mondays and Wednesdays: 4:00 - 5:20, Location: Lampton Tower 9118
Prerequisite: 62-512: Functional Analysis I
Textbook: There will be no particular textbook. The material taught in the course can be
found in the references given below.
Course Content: Banach algebras, Spectral theory, Operator theory, C*-algebras and
their representations, elementary von Neumann algebra theory.
Evaluations:
Midterm I (30%): Wednesday February 13, in class time.
Midterm II (30%): Wednesday March 27, in class time.
Final Exam (40%): Wednesday April 24, at 12:00.
If a SINGLE midterm is missed for legitimate reasons, the weight of the midterm
will be added to the final.
GRADING SCHEME: A+=[93,100], A=[86,92.9], A-=[80,85.9], B+=[77,79.9],
B=[73,76.9], B-=[70,72.9], C+=[67,69.9], C=[63,66.9], C-=[60,62.9], D+=[57,59.9],
D=[53,56.9], D-=[50,52.9], F=[35,49.9], F-=[0,34.9].
Important Dates: February 18--22 is the Study Week and there will be no classes.
March 15 is the last day to drop this course without a grade being assigned.
Friday April 12 is the last day of classes.
Student’s Evaluation: Forms will be distributed in the last two weeks of classes.
References:
J. B. Conway, A Course in Functional Analysis, second edition, Springer, 1990.
W. Rudin, Functional Analysis, second edition, McGraw Hills, 1991.
G. B. Folland, Real Analysis, second edition, John Wiley, 1999.
G.B. Folland, A Course in Abstract Harmonic Analysis.
G.H. Dales, Banach Algebras and Automatic Continuity, Oxford Uinv. Press, 2000.
M. Takesaki, Theory of Operator Algebras, 3 volumes, Springer, 2003.
E. Hewitt and K. Ross, Abstract Harmonic Analysis, 2 volumes, Springer 1991.
N. Bourbaki, Théories Spectrales: Chapitres 1 et 2, Springer, 2006.
N. Dunford and J. Schwartz, Linear operators, 3 volumes, John Wiley.
J. Dieudonne, Treatise in Analysis, 9 volumes.