Stability of the Exponential Functional Equation in Riesz Algebras

Bogdan Batko

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:848540

DOI: 10.1155/2014/848540

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