Math 8330, Functional Analysis 1
Semester 1, 2014-2015
Course Lecturer
Dr. Judith Packer, Dept. of Mathematics
Tel: (303) 492-6979
Office: Math 227
Email: packer@colorado.edu
URL: http://spot.colorado.edu/~packer
Course Syllabus: For course syllabus, click here!
Course Text:
We will use the text "A Course in Functional Analysis", Second Edition, by John B.
Conway, Graduate Texts in Mathematics, vol. 96, Springer, New York, NY, 1990.
Course Information:
The material covered will include most of Chapters III, IV, and V, and part of
Chapter VI, in the textbook. These topics include:
Topological vector spaces, Banach spaces - bounded linear functionals and the Hahn-Banach Theorem,
bounded linear operators between normed spaces, the Open Mapping Theorem
and Closed Graph Theorem, the Uniform Boundedness Principle, locally convex topoplogical vector spaces,
subspaces, extension of linear functionals and general versions of the Hahn-Banach Theorem, convexity and the
Krein-Milman theorem. Other topics will be covered as time permits.
Prerequisite:
Math 6320, or instructor consent. A good background in linear algebra is helpful, too.
Assessment:
- Homework Assignments (every two weeks or so): 60 %
- Final project on a specialized topic related to
functional analysis, written version due in my office Monday, December 15, 2014, 5 p.m.: 40 %. You must give a 25-minute
oral presentation on all or some of the material contained in the paper you have written. The presentations of these projects
will take place duirng the last two weeks of classes.
Lecture Hours and Venue:
MWF 3 p.m.- 4 p.m. ECCR 110
Office Hours:
MWF 1- 2 p.m. or by appointment.
Homework:
- Assignment 1, due Friday, September 5, 2014.
- Assignment 2, due Wednesday, September 24, 2014.
- Selected Solutions to Assignment 2.
- Assignment 3, due Wednesday, October 15, 2014.
- Selected Solutions to Assignment 3.
- Assignment 4, due Monday, November 3, 2014.
- Assignment 5, due Friday, November 21, 2014.
Some Important Names associated with Functional Analysis :
S. Banach
A. Cauchy
J. Fourier
D. Hilbert
M. Frechet
I. Gelfand
H. Hahn
L. Schwartz
S. Sobolev
M. Stone
J. von Neumann
K. Weierstrass
Back to the home page of Judith A. Packer
Last modified September 3, 2014.