Welcome - Introduction to Functional Analysis MATH 4140   Introduction to Functional Analysis
CREDIT HOURS: 3
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.
FORMAT: Lecture
PREREQUISITES: MATH 3502.03
CROSS-LISTING: MATH 5140.03