Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2013, Article ID 581683, 8 pages
http://dx.doi.org/10.1155/2013/581683
Research Article

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

1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
2School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China

Received 13 March 2013; Accepted 3 May 2013

Academic Editor: Chunrui Zhang

Copyright © 2013 Xiaofei Song 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.

Linked References

  1. C.-K. Li and S. Pierce, “Linear preserver problems,” The American Mathematical Monthly, vol. 108, no. 7, pp. 591–605, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. M. Brešar and P. Šemrl, “Linear transformations preserving potent matrices,” Proceedings of the American Mathematical Society, vol. 119, no. 1, pp. 81–86, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. X. Zhang, X. Tang, and C. Cao, Preserver Problems on Spaces of Matrices, Science Press, Beijing, China, 2007.
  4. H. You and Z. Wang, “K-potence preserving maps without the linearity and surjectivity assumptions,” Linear Algebra and Its Applications, vol. 426, no. 1, pp. 238–254, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. X. Song and C. Cao, “A note on k-potence preserving maps,” Linear Algebra and Its Applications, vol. 429, no. 7, pp. 1579–1586, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  6. Z. Wang and H. You, “Maps on upper-triangular matrix algebras preserving k-potences,” Linear Algebra and its Applications, vol. 429, no. 8-9, pp. 1915–1928, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  7. C. G. Cao and X. Zhang, “Power-preserving additive maps,” Advances in Mathematics, vol. 33, no. 1, pp. 103–109, 2004. View at Google Scholar · View at MathSciNet