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Mar 29, 2024
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MATH 612 - Functional Analysis (3 units) Normed vector spaces, Banach and Hilbert spaces, linear functionals and operators, the Hahn-Banach, closed graph and uniform boundedness theorems with applications, dual spaces, self adjoint operators, compact operators.
Units of Lecture: 3 Offered: Every Spring - Even Years
Student Learning Outcomes Upon completion of this course, students will be able to: 1. demonstrate an understanding of operators and functionals on Banach spaces and Hilbert spaces. 2. work with the central concepts and theorems of functional analysis: e.g. the Hahn-Banach theorem, uniform boundedness and open mapping theorems. 3. apply the spectral theory of bounded self-adjoint operators.
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