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18.102 Introduction to Functional Analysis

Prereq: 18.100A, 18.100B, 18.100P, or 18.100Q; 18.06, 18.700, or 18.701
U (Spring)
12 Units

Normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators. Lebesgue measure, measurable functions, integrability, completeness of L-p spaces. Hilbert space. Compact, Hilbert-Schmidt and trace class operators. Spectral theorem.

R. B. Melrose

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Subject meets with 18.1021

Department of Nuclear Science and Engineering

http://catalog.mit.edu/schools/engineering/nuclear-science-engineering/

...Academic Office (Room 24-102). Combined Bachelor's...undergraduate preparation take approximately 18 months to complete...

Department of Aeronautics and Astronautics

http://catalog.mit.edu/schools/engineering/aeronautics-astronautics/

...e.g., 18.06 Linear Algebra , 18.075...and capstone subjects include 102 units of engineering...