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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University General Course Catalog 2020-2021 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE.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 718 - Functional Analysis II (3 units)
Operators, Banach algebras, Gelfand representation, Gelfand-Naimark Theorem, continuous functional calculus, spectral measures, Borel functional calculus. Applications of the spectral theorem: Fredholm alternative, integral equations.
Prerequisite(s): MATH 714 ; MATH 717 .
Units of Lecture: 3
Offered: Every Spring - Odd Years
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. work with bounded operators on Hilbert spaces and their properties.
2. apply the concepts of Banach algebras, C*-algebra and of the functional calculus.
3. demonstrate mastery of spectral theory.
Click here for course scheduling information. | Check course textbook information
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