Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 1-7
MSC: 39B52, 15A15, 39B22.
DOI: 10.4064/ap82-1-1
Abstract
We solve the multiplicative Cauchy equation for real functions of symmetric positive definite matrices under the differentiability restriction. The specialty of the problem lies in the symmetry of the multiplication.
