|
|
|
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:
-
Reed & Simon, Mathematical Physics (vol 2,4)
-
J.B.Conway, Introduction to Functional Analysis
-
N.Wallach, Real Reductive Groups (vol 2)
-
L.Hormander, The Analysis of Linear Partial Differential
Operators
-
Dynkin, Markov Chain
Last modified:
April 7, 2003
|
