Math 8330, Functional Analysis 1
Semester 1, 2023-2024
Course Lecturer
Dr. Judith Packer, Dept. of Mathematics
Office: Math 227
Email: packer@colorado.edu
URL: http://math.colorado.edu/~packer
Course Syllabus: For course syllabus, click here!
Course Information:
The material covered will include most of Chapters III, IV, and V, and part of
Chapter VI, in the Conway textbook listed below. 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.
Course Text:
We will use the text "A Course in Functional Analysis" Second Edition, by John Conway, Graduate Texts in Mathematics, vol. 96, Springer, New York, NY,1997,
covering much of the first half of the book. This book is available in the CU bookstore, and an e-copy can be downloaded from
the CU library.
Assessment:
- Homework Assignments (every two to three weeks or so): 50 %; you will upload your homework assignments to Canvas and they will be graded there, too.
- Attendance and Homework participation: 10 % of your final grade will be come from your attendance
and participation in presenting homework problems from time to time.
- Final oral and written project on topic related to
functional analysis, written version due December 10, 2020: 40 % .
Lecture Hours and Venue:
MWF 1:25 p.m.- 2:15 p.m. , DUAN G2B47.
Final Exam Period:
Our final examination period is scheduled for Tuesday, December 19, 2023, 4:30 p.m. to 7 p.m. Keep this
time free to give or listen to oral project presentations.
Office Hours:
MWF 10:10 - 11:10 a.m., MATH 227, and by appointment via ZOOM.
Important University Rules and Regulations: Click HERE
for all the important university rules and regulations that must be listed on syllabi.
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 August 22, 2023.