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Stability of the Exponential Functional Equation in Riesz Algebras

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  • Bogdan Batko

Abstract

We deal with the stability of the exponential Cauchy functional equation in the class of functions mapping a group ( , +) into a Riesz algebra . The main aim of this paper is to prove that the exponential Cauchy functional equation is stable in the sense of Hyers-Ulam and is not superstable in the sense of Baker. To prove the stability we use the Yosida Spectral Representation Theorem.

Suggested Citation

  • Bogdan Batko, 2014. "Stability of the Exponential Functional Equation in Riesz Algebras," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-4, January.
    • Handle: RePEc:hin:jnlaaa:848540
    DOI: 10.1155/2014/848540
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