18.102 Introduction to Functional Analysis


Class Info

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.

This class has 18.100A, 18.100B, 18.100P, 18.100Q, 18.06, 18.700, and 18.701 as prerequisites.

18.102 will not be offered this semester. It will be available in the Spring semester, and will be instructed by R. B. Melrose.

Lecture occurs 11:00 AM to 12:30 PM on Tuesdays and Thursdays in 4-163.

This class counts for a total of 12 credits.

You can find more information at the Home page for 18.102 site.

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