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 be offered this semester (Spring 2018). It is instructed by R. B. Melrose.

Lecture occurs 11:00 AM to 12:30 PM on Tuesdays and Thursdays in 4-370.

This class counts for a total of 12 credits.

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