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Jordan Semi-Triple Multiplicative Maps on the Symmetric Matrices
Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
- 1 Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
- 2 Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
- 3 Department of Mathematics, Taiyuan University of Technology, Staff Education and Training Center of Taiyuan Iron and Steel (Group) Co., Ltd., Taiyuan, China
Advances in Linear Algebra & Matrix Theory·Volume 03 (2013)·Pages 11–16·Published 14 June 2013·DOI10.4236/alamt.2013.32003
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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 .
KeywordsSymmetric MatricesOrthogonal MatrixJordan Homomorphism
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