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MATH 4280

Basic Functional Analysis

3 cr · Undergraduate

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 & course information

PR/CR: A minimum grade of C is required unless otherwise indicated. Prerequisites: [One of MATH 3476 , MATH 3472 , the former MATH 3740 (B+), or the former MATH 3760] and [ MATH 3390 or the former MATH 3240], or consent of instructor. Mutually Exclusive: MATH 4750 Attributes: Mathematics Requirement, Science

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