Equations in functional analysis. (Image by MIT OpenCourseWare.)
Prof. Richard Melrose
18.102
Spring 2009
Undergraduate
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.