Instructor: Tom Beale
This course is an introduction to functional analysis. In this general approach to analysis, we treat functions as points in vector spaces and work with the properties of these spaces and operators on them. Much of the emphasis is on linear operators as generalizations of the case in finite dimensions. This subject is fundamental background for much of modern mathematics.
The text will be the book by M. Reed and B. Simon, Functional Analysis. We will cover most of Chapters 1 through 8; see the book to get some idea of the material. We will assume knowledge of Math 241, Real Analysis I. I will be happy to discuss the course further with interested students.
Last modified October 23, 1996