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Introduction to Functional Analysis

Functional analysis helps to solve problems where the vector space is no longer finite-dimensional, a situation that arises very naturally in many concrete problems. Topics will include normed spaces, completeness, functionals, 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....

Disciplines:

Mathematics and Statistics / Mathematics / Analysis / Functional Analysis

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Material Type:: Online Course
Date Added to MERLOT:: March 30, 2022
Date Modified in MERLOT:: March 30, 2022
Author:: Casey Rodriguez, MIT
Submitter:: Cathy Swift

Primary Audience:: College Upper Division, Graduate School
Technical Format:: Website
Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: Unknown
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 4.0 International