Introduction to Functional Analysis

3 credits · Undergraduate

An introduction to the basic principles of functional analysis including the following topics: infinite dimensional vector spaces, normed spaces, inner-product spaces, Banach and Hilbert spaces, linear and continuous linear functionals, the Hahn-Banach Theorem, the principle of uniform boundedness, dual spaces, weak* topology, and the Alaoglu theorem, the open mapping and closed graph theorems, and consequences and applications. PREREQUISITES: MATH 3502.03 CROSSLISTED: MATH 5140.03 FORMATS: Lecture