University General Course Catalog 2018-2019 
    
    May 30, 2020  
University General Course Catalog 2018-2019 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.

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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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