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

Xiaofei Song, Chongguang Cao and Baodong Zheng

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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 .

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2013/581683.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2013/581683.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:581683

DOI: 10.1155/2013/581683

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().