Equations in functional analysis. (Image by MIT OpenCourseWare.)
Instructor(s)
Prof. Richard Melrose
MIT Course Number
18.102
As Taught In
Spring 2009
Level
Undergraduate
Translated Versions
Course Description
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.