Functional Analysis

MATH 6143


Time and Place: TR 1:30 - 2:45 in MSCS 509
Professor: Igor E. Pritsker
Office: MSCS 519C
Office Hours: TR 10:30-11:30
Office Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: https://math.okstate.edu/people/igor/
Textbook: Functional Analysis, by Walter Rudin, 2nd ed.


Functional analysis is a classical and important part of mathematical education. It is used in many other areas of mathematics and beyond, including numerous applied areas. We intend to cover the first four chapters of the book.


Prerequisites: Strong understanding of real analysis, at least within contents of MATH 5143.

Grading: Your grade will be determined by two take-home exams of equal value.

Attendance is mandatory in this class. OSU encourages you to wear a mask indoors in public settings regardless of whether you are fully vaccinated, consistent with the current CDC recommendations. This is especially important in classrooms and laboratories because people are together for long periods of time. Wearing a mask during class not only protects you but also helps protect those around you who may be more vulnerable. This is a simple way we can look out for all members of the Cowboy family. If you feel sick, do not attend class. Contact University Health Services at 405-744-7665 immediately and communicate with me as soon as possible.


Additional references:
1. R. E. Edwards, Functional Analysis, Theory and Applications, Hold, Rinehart and Winston, 1965.
2. Y. Eidelman, V. Milman and A. Tsolomitis, Functional Analysis: An Introduction, American Mathematical Society, 2004.
3. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Dover Publications, 1999.
4. P. Lax, Functional Analysis, Wiley-Interscience, 2002.
5. F. Riesz and B. Sz.-Nagy, Functional Analysis, Dover Publications, 1990.
6. K. Yosida, Functional Analysis, Springer-Verlag, 1980.