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.
CITATION STYLE
Aczél, J., & Losonczi, L. (2013). Extension of functional equations. In The Mathematics of Paul Erdos I, Second Edition (pp. 447–459). Springer New York. https://doi.org/10.1007/978-1-4614-7258-2_28
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