Functional Analysis I: MATH6461
Instructor: Dr. Youness Lamzouri.
Office: N515 Ross Building.
Time and location : Tuesday and Thursday 10:00-11:30 am in Ross N836.
Office hours: Tuesdays 11:30 am-1:00 pm,
or by appointment.
Text for the course: The course will be based primarily on lecture notes. The
following two books are highly recommended references:
John B. Conway, A Course in Functional Analysis, 2nd ed., Springer, 2007.
Peter D. Lax, Functional analysis, Wiley-Interscience, New York, 2002
Course Description :
This course will provide an introduction to functional analysis,
with some applications to other areas of mathematics such as
harmonic analysis and mathematical physics. Covered topics include: Banach and Hilbert spaces,
bounded linear operators on Hilbert space, L_p
spaces, the Riesz representation theorem, the Hahn-Banach theorem, the open mapping and closed graph theorems, the
spectral theorem for compact operators.