MATH 7130 - Functional Analysis

Andrew Roberts, fall 2015.

Prerequisites: MATH 6110 and 6120

Text: Lecture Notes on Functional Analysis by Leonard Gross

Topics covered include topological vector spaces, Krein-Milman theorem, Banach algebras, the spectral theorem, unbounded operators, von Neumann's criteria for self-adjointness, Friedrichs extension theorem, compact operators, semigroups of operators, Hille-Yoshida theorem.