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Dec 14, 2025
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University General Course Catalog 2020-2021 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.
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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 .
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.
Click here for course scheduling information. | Check course textbook information
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