Extension of Functional Equations

János Aczél () and László Losonczi ()
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János Aczél: University of Waterloo, Department of Pure Mathematics
László Losonczi: Kuwait University, Department of Mathematics

A chapter in The Mathematics of Paul Erdős I, 2013, pp 447-459 from Springer

Abstract: 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.

Keywords: 39 B 22; 39 B 52; functional equation; extension of functional equation (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-7258-2_28

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