Pexider equation on a restricted domain

• Autorzy: Sobek B.
• Języki publikacji: EN

Abstrakty

EN

We prove an extension theorem for Pexider equation on a restricted domain in a uniquely 2-divisible Abelian topological group which has a base of open neighbourhoods of 0 satisfying some 2-divisibility conditions.

Słowa kluczowe

EN

Pexider equation; topological group

PL

równanie Pexidera; grupa topologiczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 1
• Strony: 81--88
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Sobek B.

• Department of Mathematics University of Rzeszów Rejtana 16A 35-310 Rzeszów, Poland,

Bibliografia

• [1] J. Aczél, Extension of a generalized Pexider equation, Proc. Amer. Math. Soc. 133 (2005), 3227-3233.
• [2] J. A. Baker, Locally Pexider, Aequationes Math. 70 (2005), 314-320.
• [3] J. Chudziak, J. Tabor, Generalized Pexider equation on a restricted domain, J. Math. Psych. 52 (2008), 389-392.
• [4] L. S. Pontriagin, Topological Groups, PWN Warszawa, 1961.
• [5] F. Radó, J. A. Baker, Pexider’s equation and aggregation of allocations, Aequationes Math. 32 (1987), 227-239