Introduction to Functional Analysis

An image showing three equations.

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

Cite This Course

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.

Melrose, Richard. 18.102 Introduction to Functional Analysis, Spring 2009. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-102-introduction-to-functional-analysis-spring-2009 (Accessed). License: Creative Commons BY-NC-SA


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