Introduction to Functional Analysis

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Equations in functional analysis. (Image by MIT OpenCourseWare.)

Instructor(s)

MIT Course Number

18.102

As Taught In

Spring 2009

Level

Undergraduate

Translated Versions

Türkçe

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Course Description

Course Features

Course Description

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.

Related Content

Richard Melrose. 18.102 Introduction to Functional Analysis. Spring 2009. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.


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