MATH 717 - Functional Analysis I

(3 units)

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.

Prerequisite(s): MATH 713.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall - Even Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. apply the fundamental results of Hilbert and Banach space theory.
2. apply the Hahn-Banach theorem, Open Mapping Theorem and Closed Graph theorem.
3. apply the fundamental theorems to concrete topological vector spaces.

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