Functional Analysis

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( MATH 354 or MATH 221 ) and MATH 425 and MATH 443 Description: 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. Graduate/Undergraduate Equivalency: MATH 523 . Mutually Exclusive: Cannot register for MATH 433 if student has credit for MATH 523→MATH 433→unlocks 0 courses

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