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MATH.5070 Applied Functional Analysis I (Formerly 92.507)

Id: 008408 Credits Min: 3 Credits Max: 3


Metric spaces, completeness, contractions, compactness, the Arzela-Ascoli theorem, Picard's theorem, Weierstrass's theorem. Banach spaces, dual spaces, weak v's strong convergence. Hilbert spaces, orthogonal sequences, weak sequential compactness, compact self-adjoint operators and their spectra, application to Sturm-Liouville theory.


MATH.4030 Mathematical Analysis, or MATH.5010 Real Analysis, and MATH.2220 Linear Algebra II.

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