Mar 28, 2024  
2021-2022 Graduate Catalog 
    
2021-2022 Graduate Catalog [ARCHIVED CATALOG]

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MATH 5740 - Fundamentals of Functional Analysis

(3 credits)
Prerequisites: MATH 4217 or MATH 5217 .

The standard basic topics of functional analysis are covered. Properties of normed linear spaces, Banach spaces, and Hilbert spaces are studied. The Hahn-Banach Theorem is addressed. Spectral theory and compact operators are introduced. A knowledge of measure theory is not assumed and any needed measure theoretic results are presented.


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