18.102 Introduction to Functional Analysis
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.
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.
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