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Introduction to Functional Analysis Part Iii, Autumn 2004, Number 2

By Käorner, T.W

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Book Id: WPLBN0003761748
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: Introduction to Functional Analysis Part Iii, Autumn 2004, Number 2  
Author: Käorner, T.W
Volume:
Language: English
Subject: Programming, Mathematics, Mathematical Analysis
Collections: Technical Books Center
Historic
Publication Date:
2004
Publisher: Technical Books Center

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Käorner, T. (2004). Introduction to Functional Analysis Part Iii, Autumn 2004, Number 2. Retrieved from http://hawaiilibrary.net/


Description
Description: This note covers the following topics: Baire category, Non-existence of functions of several variables, The principle of uniform boundedness, Zorn's lemma and Tychonov's theorem, The Hahn-Banach theorem, Banach algebras, Maximal ideals, Analytic functions, The Gelfand representation.

Table of Contents
TOC : Some notes on prerequisites - Baire category - Non-existence of functions of several variables - The principle of uniform boundedness - Zorn's lemma and Tychonov's theorem - The Hahn-Banach theorem - Banach algebras - Maximal ideals - Analytic functions - Maximal ideals - The Gelfand representation - Finding the Gelfand representation - Three more uses of Hahn-Banach - The Rivlin-Shapiro formula.

 

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