Description

• Title:
  Connections between the completion of normed spaces over non-archimedean fields and the stability of the Cauchy equation
• Creator:
  Schwaiger, Jens
• Description:
  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 isformulated and proved in the context of Banach spaces over the field of p-adic numbers.
• Object availability:
  free access
• Date:
  2020.05.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 34 No 1 (2020); 151-163;
  Annales Mathematicae Silesianae; Tom 34 Nr 1 (2020); 151-163;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13640/10446
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13640
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other