Published: 2020-05-08

Connections between the completion of normed spaces over non-archimedean fields and the stability of the Cauchy equation

Jens Schwaiger Logo ORCID

Abstract

In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the rationals is a p-adic valuation. Moreover a result by Zygfryd Kominek ([5]) on the stability of the Pexider equation is
formulated and proved in the context of Banach spaces over the field of p-adic numbers.

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Schwaiger, J. (2020). Connections between the completion of normed spaces over non-archimedean fields and the stability of the Cauchy equation. Annales Mathematicae Silesianae, 34(1), 151–163. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13640

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Domyślna okładka

Vol. 34 No. 1 (2020)
Published: 2020-07-20


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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