Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices

Konstancja Bobecka, and Jacek Wesołowski. "Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices." Annales Polonici Mathematici 82.1 (2003): 1-7. <http://eudml.org/doc/280798>.

@article{KonstancjaBobecka2003,
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.},
author = {Konstancja Bobecka, Jacek Wesołowski},
journal = {Annales Polonici Mathematici},
keywords = {symmetric positive-definite matrices; determinant; multiplicative Cauchy functional equation; symmetric multiplication},
language = {eng},
number = {1},
pages = {1-7},
title = {Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices},
url = {http://eudml.org/doc/280798},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Konstancja Bobecka
AU - Jacek Wesołowski
TI - Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 1
SP - 1
EP - 7
AB - 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.
LA - eng
KW - symmetric positive-definite matrices; determinant; multiplicative Cauchy functional equation; symmetric multiplication
UR - http://eudml.org/doc/280798
ER -