Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone

• Autorzy: Jacek Wesołowski
• Języki publikacji: EN

Abstrakty

EN

It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.

Kategorie tematyczne

• 62H05: Characterization and structure theory
• 39B22: Equations for real functions
• 17A15: Noncommutative Jordan algebras
• 39B52: Equations for functions with more general domains and/or ranges

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 3
• Strony: 263-275

Daty

wydano

2007

Twórcy

autor

Jacek Wesołowski

• Wydział Matematyki i Nauk Informacyjnych, Politechnika Warszawska, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm179-3-4