Overview
Description
The Hahn-Banach Theorem, Open Mapping Theorem and Closed Graph Theorem, the Uniform Boundedness Principle; topological vector spaces, subspaces, extension of linear functionals, convexity and the Krein-Milman theorem.
Requirements
Prerequisites
MATH 713
Original catalog text
Prerequisites
Prerequisite(s): MATH 713.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Even Years
Terms
fall
Attributes
Standard
Learning Outcomes
- apply the fundamental results of Hilbert and Banach space theory.
- apply the Hahn-Banach theorem, Open Mapping Theorem and Closed Graph theorem.
- apply the fundamental theorems to concrete topological vector spaces.