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May 09, 2025
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MATH 6220 - Applied Functional Analysis
A basic course in the concepts of linear functional analysis, including such topics as Banach and Hilbert spaces, L^p and l^p (sequence) spaces; weak, strong and weak* convergence; linear functionals; linear bounded, unbounded, closed, and compact operators; spectrum, resolvent, the spectral theorem for compact operators, Fredholm alternative; applications are to differential equations, integral equations and optimization.
Prerequisites/Corequisites: Prerequisites: MATH 4100 and MATH 4200 , MATH 4300 , and MATH 4600 or equivalent or permission of instructor.
When Offered: Fall term odd-numbered years.
Credit Hours: 4
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