MATH 433: FUNCTIONAL ANALYSIS

Spring 2026 · Section 001 · CRN 25690

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. Cross-list: MATH 523. Mutually Exclusive: Cannot register for MATH 433 if student has credit for MATH 523.

Credits
3
Instructors
David Damanik

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