Course Description

Mathematics 418a/b Introduction to Functional Analysis

Banach and Hilbert spaces, dual spaces, annihilators, Hahn-Banach theorem, Riesz representation theorems, bounded linear operators, adjoints, closed graph and Banach-Steinhaus theorems, compact operators, the Fredholm alternative, the operational calculus, spectral resolution of compact normal operators, applications to integral equations.

Prerequisites: Mathematics 203b, 304a/b, 307b.

3 lecture hours, half course.

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