Applied Functional Analysis I

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Note: This course is not available for the current semester.

Course No: MATH.5070; Last Offered: No Data;

Course Description

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.

Prerequisites & Notes

  • Prerequisites: MATH.4030 Pre-req
  • Special Notes:
  • Credits: 3;

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