MATH 852: Functional
Analysis 1
Syllabus - Fall 2005
Instructor: Marianne Korten
Office: Cardwell 234, 532-0567
Exercises meetings: Mondays
3:30, CW129. Office Hours: Fridays
3:30
Textbook: Analyse
Fonctionnelle, Haim Brezis, Dunod. Also available from amazon.fr or
amazon.ca.
I will also use a number of
classics to assign homework from, a sample of authors is
Wheeden-Zygmund,
Rudin, Kolmogorov-Fomin, Cotlar-Cignoli, Gilbarg-Trudinger (most of
them are available in the library),
and what else comes in handy.
Course description:
Topological vector spaces;
locally convex spaces (Hahn-Banach Theorem,
weak topology, dual pairs, Krein-Milman Theorem, theory of
distributions); Banach spaces (Uniform Boundedness Principle, Open
Mapping Theorem and applications, Alaoglu's Theorem, analytic
vector-valued functions, Krein-Smulian Theorem); C(X) as a Banach space
(Stone-Weierstrass Theorem, Riesz Theorem); Lp spaces.
Grading policy:
Attendance and participation are requiered. You are expected to
complete the homework you will be assigned regularly,
and not fall behind, although it will not be collected nor graded.
There will be one midterm and one final. Final grades will be
based on witten work and as follows: 50% for the midterm,
50% for
the final. Some homework exercises will reappear in the midterm and the
final (!).
Here I will post your (roughly weekly) assignments.