Material Detail

18.102 Introduction to Functional Analysis | Mathematics

This is a undergraduate course. It will cover 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; as well as spectral theorem.

Keywords:: normed spaces, Lebesgue integrability, linear spaces, Banach spaces, Mathematical Analysis, Lebesgue integrable functions, metric spaces, Linear Algebra

Disciplines:

Mathematics and Statistics / Mathematics

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Material Type:: Online Course
Date Added to MERLOT:: May 12, 2016
Date Modified in MERLOT:: May 12, 2016
Author:: Unknown (Know the author?)
Submitter:: Barbra Bied Sperling

Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: Website
Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States