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Original Articles

Idempotence preserving maps between matrix spaces

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Pages 349-375 | Received 28 Oct 2010, Accepted 17 Jun 2011, Published online: 25 Aug 2011

References

  • Chan , GH and Lim , MH . 1992 . Linear preservers on powers of matrices . Linear Algebra Appl. , 162–164 : 615 – 626 .
  • Dolinar , G . 2003 . Maps on matrix algebras preserving idempotents . Linear Algebra Appl. , 371 : 287 – 300 .
  • Dolinar , G and Šemrl , P . 2002 . Determinant preserving maps on matrix algebras . Linear Algebra Appl. , 348 : 189 – 192 .
  • Li , CK and Pierce , S . 2001 . Linear preserver problems . Amer. Math. Monthly , 108 : 591 – 605 .
  • Li , CK , Rodman , L and Šemrl , P . 2002 . Linear transformations between matrix spaces that map one rank specific set into another . Linear Algebra Appl. , 357 : 197 – 208 .
  • Liu , SW . 1997 . Linear maps preserving idempotence on matrix modules over principal ideal domains . Linear Algebra Appl. , 258 : 219 – 231 .
  • Liu , SW and Zhao , DB . 1997 . Introduction to Linear Preserver Problems , Harbin , , China : Harbin Press .
  • Omladi , M and Šemrl , P . 1993 . Additive mappings preserving operators of rank one . Linear Algebra Appl. , 182 : 239 – 256 .
  • Šemrl , P . 2003 . Hua's fundamental theorems of the geometry of matrices and related results . Linear Algebra Appl. , 361 : 161 – 179 .
  • Sheng , YQ , Zheng , BD and Zhang , X . 2007 . Maps on spaces of symmetric matrices preserving idempotence . Linear Algebra Appl. , 420 : 576 – 585 .
  • Tan , V and Wang , F . 2003 . On determinant preserver problems . Linear Algebra Appl. , 369 : 311 – 317 .
  • Tang , XM , Xu , JL and Cao , CG . 2008 . A note on idempotence-preserving maps . Linear Multilinear Algebra , 56 : 399 – 414 .
  • Zhang , X . 2004 . Idempotence-preserving maps without the linearity and surjectivity assumptions . Linear Algebra Appl. , 387 : 167 – 182 .

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