Cornell Math - MATH 713, Spring 1999

MATH 713 — Spring 1999
Functional Analysis

Instructor: Hongyu He

Time:  MWF 11:15-12:05

Room: SD 211 on MW; WE B29 on F

 

This is a traditional course on functional analysis. For the first part of the course, I will cover fundamentals on topological vector spaces, Banach Algebras, C*-algebras, we will discuss the spectral theory on compact operators, normal operators, and unbounded operators. Then the students will be given a project which will end with students' presentation to the whole class. Of course, these projects should be related to the students'specialty. Some possible topics are Von-Neumann algebras, group C*-algebras, self-adjoint operators, linear differential operators, distribution theory.

We will give reading assignment and will assume basic theory on Banach spaces and Hilbert spaces.

References:

  1. Reed & Simon, Mathematical Physics (vol 2,4)

  2. J.B.Conway, Introduction to Functional Analysis

  3. N.Wallach, Real Reductive Groups (vol 2)

  4. L.Hormander, The Analysis of Linear Partial Differential Operators

  5. Dynkin, Markov Chain