On approximately additive functions

Roman Badora

Published: 1994-09-30

Vol. 8 (1994)

On approximately additive functions

Roman Badora

Abstract

In the present paper we find a linear operator on a function space, essentially larger than the space of all bounded functions on an amenable semigroup, which behaves like an invariant mean. This leads to an extension of the Hyers-Ulam stability theorem for Cauchy's functional equation in the case of vector-valued mappings defined on amenable semigroups.

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Badora, R. (1994). On approximately additive functions. Annales Mathematicae Silesianae, 8, 111–126. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14223

References

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Vol. 8 (1994)
Published: 1994-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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