Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products

Li Yang, Wei Zhang and Jinli Xu

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

Suppose are positive integers. Let be the space of all complex upper triangular matrices, and let be an injective linear map on . Then is an idempotent matrix in whenever is an idempotent matrix in if and only if there exists an invertible matrix such that , or when , , where or and or

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/148321.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/148321.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:148321

DOI: 10.1155/2014/148321

Access Statistics for this article

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