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.
Dozent: | Dr. Casey Rodriguez |
Bereitgestellt von: | MIT |
Kurssprache: | Englisch |
Kosten: | kostenlos |
Level: | Vorkenntnisse |
Zertifikat erhältlich? | |
Format: | Vorlesungsvideo |
Wie gefällt Dir der Kurs 'Introduction To Functional Analysis'?