MIT 18.102 Introduction to Functional Analysis, Spring 2021
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Instructor: Dr. Casey Rodriguez
View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/
Functional analysis helps us study and solve both linear and nonlinear problems posed on a normed space that is no longer finite-dimensional, a situation that arises very naturally in many concrete problems. Topics include normed spaces, completeness, functionals, the Hahn-Banach Theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of Lᵖ spaces; Hilbert spaces; compact and self-adjoint operators; and the Spectral Theorem.
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