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2014 Stability of the Exponential Functional Equation in Riesz Algebras
Bogdan Batko
Abstr. Appl. Anal. 2014: 1-4 (2014). DOI: 10.1155/2014/848540

Abstract

We deal with the stability of the exponential Cauchy functional equation F(x+y)=F(x)F(y) in the class of functions F:GL mapping a group (G, +) into a Riesz algebra L. 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.

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Bogdan Batko. "Stability of the Exponential Functional Equation in Riesz Algebras." Abstr. Appl. Anal. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/848540

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07023191
MathSciNet: MR3166660
Digital Object Identifier: 10.1155/2014/848540

Rights: Copyright © 2014 Hindawi

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