Abstract
Let be the field of all complex numbers, the space of all matrices over , and the subspace of consisting of all symmetric matrices. The map satisfies that is -potent in implying that is -potent in , where then there exist an invertible matrix and with such that for every . Moreover, the inductive method used in this paper can be used to characterise similar maps from to .
Citation
Xiaofei Song. Chongguang Cao. Baodong Zheng. "A Note on -Potence Preservers on Matrix Spaces over Complex Field." Abstr. Appl. Anal. 2013 (SI20) 1 - 8, 2013. https://doi.org/10.1155/2013/581683
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