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Abstract and Applied Analysis
Volume 2014, Article ID 148321, 8 pages
Research Article

Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products

1Department of Foundation, Harbin Finance University, Harbin 150030, China
2School of Mathematical Science, Heilongjiang University, Harbin 150080, China
3Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 26 October 2013; Accepted 10 December 2013; Published 28 January 2014

Academic Editor: Antonio M. Peralta

Copyright © 2014 Li Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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