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Extension of Functional Equations

In: The Mathematics of Paul Erdős I

Author

Listed:
  • János Aczél

    (University of Waterloo, Department of Pure Mathematics)

  • László Losonczi

    (Kuwait University, Department of Mathematics)

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.

Suggested Citation

  • János Aczél & László Losonczi, 2013. "Extension of Functional Equations," Springer Books, in: Ronald L. Graham & Jaroslav Nešetřil & Steve Butler (ed.), The Mathematics of Paul Erdős I, edition 2, pages 447-459, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7258-2_28
    DOI: 10.1007/978-1-4614-7258-2_28
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