BA Specialization - Functional Analysis

MATH 4086  Functional Analysis


MATH 3137


Three hours of lecture per week for one term.




Students study topological vector spaces, Freshet spaces, the Banach-Steinhaus theorem, the open mapping and closed graph theorems, convexity, the Hahn-Banach theorems, Banach spaces and duality in Banach spaces, adjoints and compact operators, and Hilbert spaces. The course can be taught together with MATH 5086-Functional Analysis with the undergraduate students subject to different assignments and evaluation criteria than the graduate students.

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