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Nonlinear Functional Analysis

By Teschl, Gerald

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Book Id: WPLBN0003761771
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Nonlinear Functional Analysis  
Author: Teschl, Gerald
Language: English
Subject: Programming, Mathematics, Mathematical Analysis
Collections: Technical Books Center
Publication Date:
Publisher: Technical Books Center


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Teschl, G. (n.d.). Nonlinear Functional Analysis. Retrieved from

Description: This notes provides a brief introduction to Real and Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.

Table of Contents
TOC : Introduction - A rst look at Banach and Hilbert spaces - Hilbert spaces - Compact operators - The main theorems about Banach spaces - More on compact operators - Bounded linear operators - Almost everything about Lebesgue integration - The Lebesgue spaces Lp - More measure theory - The dual of Lp - The Fourier transform - Interpolation - Analysis in Banach spaces - The Brouwer mapping degree - The Leray{Schauder mapping degree - The stationary Navier{Stokes equation - Monotone maps.


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