TITLE:
Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices
AUTHORS:
Xiaoning Hao, Pengxiang Ren, Runling An
KEYWORDS:
Symmetric Matrices; Orthogonal Matrix; Jordan Homomorphism
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.3 No.2,
June
14,
2013
ABSTRACT:
In this paper, we show that if an
injective map on symmetric matrices Sn(C) satisfies
then for all , where f is an injective homomorphism on C, S is a complex orthogonal matrix and Af is the image of A under f applied entrywise.