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MATH 5327. FUNCTIONAL ANALYSIS I. 3 Hours.
Introduction to Hilbert and Banach spaces: Hahn-Banach, Banach-Steinhaus, and closed graph theorems. Riesz representation theorem and bounded linear operators in Hilbert space. Prerequisite: MATH 5317 or consent of the instructor.
Mathematics - Graduate Programs
http://catalog.uta.edu/science/math/graduate/
Develo p the students’ ability to do independent research and prepare them for more advanced studies in mathematics. Provide advanced training and preparation for professional careers as mathematicians, mathematics teachers, and those employed in engineering, scientific and business fields.