21-640: Introduction to Functional Analysis

Spring 2007

Lectures:   MWF 2:30-3:20 pm in Hamburg Hall room 237 (moved back from PPB 300 )

Instructor: Robert Pego

Assignments:

The final exam is scheduled for Friday, May 11, 5:30-8:30pm, Porter Hall A18A. A syllabus is available here: pdf

The midterm test will be held Friday, March 30 in class. A syllabus is available here: pdf

Reference: P. R. Chernoff, A simple proof of Tychonoff's theorem via nets, American Mathematical Monthly 99 (no. 10) (1992) pp. 932--934. (Available online via JSTOR)

Main Text:

Highly recommended reference works: Other texts to consider:

Course Description:   Functional analysis is a large subject and this is only an introduction to a central set of topics. Research has largely tapered off in the subject itself, but it is widely used in many areas of application.

Prerequisites: Real analysis (21355), linear algebra (21341), metric-space topology (21465). (Course numbers are only examples.) Also useful, but not essential, would be some knowledge of complex variables and/or Fourier series.

Grading:   Based on

Homework: PDF files will be posted online at   http://www.math.cmu.edu/~bobpego/21640/ .

Final Exam: There will be a mandatory comprehensive final examination; time and date to be announced.

Make-up tests are only possible in the case of a documented medical excuse, a university-sanctioned absence (e.g., participation in a varsity sporting event), or a family emergency. Please contact me at the earliest time possible to schedule a make-up.