Connections Between the Completion of Normed Spaces Over Non-Archimedean Fields and the Stability of the Cauchy Equation

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 r...

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Bibliographic Details
Main Author: Schwaiger Jens
Format: Article
Language:English
Published: Sciendo 2020-07-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2020-0002/amsil-2020-0002.xml?format=INT