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Paul Erdős: Life and Work Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Extension of Functional Equations

Authors : János Aczél, László Losonczi

Published in: The Mathematics of Paul Erdős I

Publisher: Springer New York

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Abstract

Extension theorems are common in various areas of mathematics. In topology continuous extensions of continuous functions are studied. In functional analysis one is interested mainly in linear extensions of linear operators preserving continuity or some other properties like bounds or norm. In algebra extensions of homomorphisms and isomorphisms are investigated. The latter can be considered as extensions of functional equations.

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previous chapter The Erdős Existence Argument
next chapter Remarks on Penrose Tilings
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Metadata
Title
Extension of Functional Equations
Authors
János Aczél
László Losonczi
Copyright Year
2013
Publisher
Springer New York
Book
The Mathematics of Paul Erdős I

Print ISBN: 978-1-4614-7257-5

Electronic ISBN: 978-1-4614-7258-2

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-7258-2_28

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