Description

• Title:
  A variant of d’Alembert’s matrix functional equation
• Creator:
  Aissi, Youssef;
  Zeglami, Driss;
  Ayoubi, Mohamed
• Description:
  The aim of this paper is to characterize the solutions Φ:G→M2(ℂ) of the following matrix functional equations\frac{Φ(xy)+Φ(σ(y)x)}{2} = Φ(x)Φ(y), x,y∈G,and\frac{Φ(xy)-Φ(σ(y)x)}{2} = Φ(x)Φ(y), x,y∈G,where G is a group that need not be abelian, and σ:G→G is an involutive automorphism of G. Our considerations are inspired by the papers [13, 14] in which the continuous solutions of the first equation on abelian topological groups were determined.
• Object availability:
  free access
• Date:
  2020.12.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 35 No 1 (2021); 21-43;
  Annales Mathematicae Silesianae; Tom 35 Nr 1 (2021); 21-43;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13472/10419
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13472
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other