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 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.
You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.102&btnG=Google+Search&inurl=https site.
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