MATH 4280

Basic Functional Analysis

Banach spaces, Hahn-Banach, open mapping and closed graph theorems, principle of uniform boundedness, linear operators and functionals, dual space, Lp and Lq spaces, weak and weak* topologies, Hilbert spaces and compact operators on a Hilbert space. Not to be held with the former MATH 4750. Prerequisites: [MATH 3472 (C) or the former MATH 3740 (B+) or the former MATH 3760 (C)] and [MATH 3390 (C) or the former MATH 3240 (C)], or consent of instructor.

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course_MATH_4280 cluster_equiv_1 cluster_equiv_2 MATH 4280 MATH 4280 MATH 3472 MATH 3472 C or better MATH 3472->MATH 4280 MATH 3390 MATH 3390 C or better MATH 3390->MATH 4280