FUNCTIONAL ANALYSIS

Credit Hours: 3 · Undergraduate Upper-Level

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 .