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Apr 19, 2024
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MATH 6320 - Functional Analysis
An introduction to the basic results of functional analysis in the setting of Banach and Hilbert spaces. Key topics include the weak and weak* topologies, distributions, and an introduction to the Spectral Theorem. Theorems covered include the Hahn-Banach theorem, the Principle of Uniform Boundedness, the Closed Graph theorem, and the Open Mapping Theorem.
Requisites: MATH 6301 and (MATH 5330 or 6302)
Credit Hours: 4
Repeat/Retake Information: May not be retaken.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes:
- Students will be able to use the basic theory of functional analysis in a variety of areas.
- Students will be prepared to learn more advanced topics relevant to their research area.
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