Introduction to Functional Analysis
As taught in: Spring 2009
Equations in functional analysis. (Image by MIT OpenCourseWare.)
Instructors:
Prof. Richard Melrose
MIT Course Number:
18.102
Level:
Undergraduate
Course Features
Course Description
This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.
