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Introduction to Functional Analysis Part III by T. W. Korner
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About this book :-
Introduction to Functional Analysis Part III written by
T. W. Korner
The content of the course cover principle of uniform boundedness, Zorn’s lemma and Tychonov’s theorem, Hahn-Banach theorem, Rivlin-Shapiro formula and Hahn-Banach.
Book Detail :-
Title: Introduction to Functional Analysis Part III
Edition:
Author(s): T. W. Korner
Publisher:
Series:
Year: 2004
Pages: 33
Type: PDF
Language: English
ISBN:
Country: UK
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About Author :-
Author T. W. Korner (born 1946) is a British pure mathematician and the author of three books on popular mathematics.
He is titular Professor of Fourier Analysis in the University of Cambridge and a Fellow of Trinity Hall. He is the son of the famous philosopher Stephan Körner and of magistrate Edith Körner.
He earned his Phd from Trinity Hall, Cambridge in 1971 by wrote his thesis Some Results on Kronecker, Dirichlet and Helson Sets. His area of work was fourier analysis, calculus for the ambitious and Vectors. In 1972 he won the Salem Prize.
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Book Contents :-
Introduction to Functional Analysis Part III written by
T. W. Korner
cover the following topics.
1. Some notes on prerequisites
2. Baire category
3. Non-existence of functions of several variables
4. The principle of uniform boundedness
5. Zorn’s lemma and Tychonov’s theorem
6. The Hahn-Banach theorem
7. Banach algebras
8. Maximal ideals
9. Analytic functions
10. Maximal ideals
11. The Gelfand representation
12. Finding the Gelfand representation
13. Three more uses of Hahn-Banach
14. The Rivlin-Shapiro formula
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