Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.3 No.2, June 2013

Advances in Linear Algebra & Matrix Theory

Volume 3, Issue 2 (June 2013)

ISSN Print: 2165-333X ISSN Online: 2165-3348

Google-based Impact Factor: 0.11 Citations

Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices ()

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DOI: 10.4236/alamt.2013.32003 3,159 Downloads 7,307 Views Citations

Author(s)

Xiaoning Hao, Pengxiang Ren, Runling An

Affiliation(s)

Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China.

ABSTRACT

In this paper, we show that if an injective map on symmetric matrices S_n(C) satisfies
then for all , where f is an injective homomorphism on C, S is a complex orthogonal matrix and A_f is the image of A under f applied entrywise.

KEYWORDS

Symmetric Matrices; Orthogonal Matrix; Jordan Homomorphism

Share and Cite:

X. Hao, P. Ren and R. An, "Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 2, 2013, pp. 11-16. doi: 10.4236/alamt.2013.32003.

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