Math 622 — Applied Functional Analysis

Spring 2003

Instructor: Alexander Bendikov

Time: MWF 12:20-1:10

Room: MT 230

This is a first-year graduate course in Functional analysis with a stress to applications. Content of the course:

• Metric spaces; fixed point theorems.
• Normed vector spases and linear operators.
• Spectral theory of compact operators.
• Hilbert spaces and linear operators.
• Spectral theory of self-adjoint operators.
• Applications.

The course will be based on A. Friedman's book "Foundations of Modern Analysis".