A Note on -Potence Preservers on Matrix Spaces over Complex Field

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, th...

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Bibliographic Details
Main Authors: Xiaofei Song, Chongguang Cao, Baodong Zheng
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/581683
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