This online lecture series explores functional analysis, i.e. solving both linear and nonlinear problems posed on a normed space that is no longer finite-dimensional. 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.
| Instructor: | Dr. Casey Rodriguez |
| Provided by: | MIT |
| Course language: | English |
| Fees: | free course |
| Level: | intermediate |
| Certificate available? | |
| Format: | video lecture |
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