MATH 523: FUNCTIONAL ANALYSIS

Fall 2023 · Section 001 · CRN 15330

Banach spaces: review of L^p spaces, linear operators, dual space, Hahn-Banach theorem, weak topologies, Banach-Alaoglu theorem, compact and bounded operators, closed graph theorem; Hilbert spaces: self-adjoint and unitary operators (including spectral theorem), symmetric operators and self-adjoint extensions; if time allows, distributions and Sobolev spaces. Repeatable for Credit.

Credits
3
Instructors
Stephen Semmes

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