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Linear and Multilinear Algebra Volume 60, 2012 - Issue 1
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Original Articles

Additive mappings on C*-algebras preserving absolute values

Ali Taghavi Department of Mathematics, Faculty of Mathematical Sciences, Mazandaran University, Babolsar, IranCorrespondence[email protected]
Pages 33-38 | Received 15 Oct 2010, Accepted 16 Oct 2010, Published online: 25 Aug 2011

References

  • Aupetit , B and du Toit Mouton , H . 1994 . Spectrum preserving linear mappings in Banach algebras . Stud. Math. , 109 : 91 – 100 .
  • Brešar , M . 1993 . Commuting traces of biadditive mappings, commutativity-preserving, mappings and Lie mappings . Trans. Am. Math. Soc. , 335 : 525 – 546 .
  • Chan , GH and Lim , MH . 1992 . Linear preservers on powers of matrices . Linear Algebra Appl. , 162–164 : 615 – 626 .
  • Choi , MD , Jafarian , AA and Radjavi , H . 1987 . Linear maps preserving commutativity . Linear Algebra Appl. , 87 : 227 – 241 .
  • Jafarian , AA and Sourour , AR . 1986 . Spectrum-preserving linear maps . J. Funct. Anal. , 66 : 255 – 261 .
  • Kadison , RV and Ringrose , JR . 1997 . “ Fundamentals of the Theory of Operator Algebras ” . In Elementary Theory , Vol. I , New York : Academic Press .
  • Kadison , RV and Ringrose , JR . 1997 . “ Fundamentals of the Theory of Operator Algebras ” . In Advanced Theory , Vol. I , Orlando : Academic Press .
  • Li , CK and Tsing , NK . 1992 . Linear preserver problems: A brief introduction and some special techniques . Linear Algebra Appl. , 162–164 : 217 – 235 .
  • Molnár , L . 1996 . Two characterisations of additive *-automorphisms of B(H) . Bull. Aust. Math. Soc. , 53 : 391 – 400 .
  • Molnár , L . 2006 . Multiplicative Jordan triple isomorphisms on the selfadjoint elements of von Neumann algebras . Linear Algebra Appl. , 419 : 586 – 600 .
  • Omladič , M . 1986 . On operators preserving commutativity . J. Funct. Anal. , 66 : 105 – 122 .
  • Omladič , M and Šemrl , P . 1995 . Linear mappings that preserve potent operators . Proc. Am. Math. Soc. , 123 : 1069 – 1074 .
  • Radjabalipour , M . 2003 . Additive mappings on von Neumann algebras preserving absolute values . Linear Algebra Appl. , 368 : 229 – 241 .
  • Radjabalipour , M , Seddighui , K and Taghavi , Y . 2001 . Additive mappings on operator algebras preserving absolute values . Linear Algebra Appl. , 327 : 197 – 206 .
  • Šemrl , P . 1993 . Linear mappings preserving square-zero matrices . Bull. Aust. Math. Soc. , 48 : 365 – 370 .

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