MIT Subject Listing & Schedule
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18.102 Introduction to Functional Analysis

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(Subject meets with 18.1021)
Prereq: (18.06, 18.700, or 18.701) and (18.100A, 18.100B, 18.100P, or 18.100Q)
Units: 3-0-9
Lecture: TR11-12.30 (4-163) +final

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
No required or recommended textbooks