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Original Articles

Metric versions of Herstein's theorems on Jordan maps

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Pages 941-954 | Received 04 Oct 2011, Accepted 15 Oct 2011, Published online: 25 Nov 2011

References

  • Alaminos , J , Extremera , J and Villena , AR . 2011 . Approximately spectrum-preserving maps . J. Funct. Anal. , 261 : 233 – 266 .
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  • Brešar , M , Chebotar , MA and Martindale III , WS . 2007 . “ Functional Identities ” . In Frontiers in Mathematics , xii + 272 Basel : Birkhäuser Verlag .
  • Herstein , IN . 1956 . Jordan homomorphisms . Trans. Am. Math. Soc. , 81 : 331 – 341 .
  • Herstein , IN . 1957 . Jordan derivations of prime rings . Proc. Am. Math. Soc. , 8 : 1104 – 1110 .
  • Mathieu , M . Rings of Quotients of Ultraprime Banach Algebras, with Applications to Elementary Operators. Conference on Automatic Continuity and Banach Algebras (Canberra, 1989), Proceedings of the Centre for Mathematical Analysis Australian National University, 21, Australian National University, Canberra, 1989, pp. 297–317
  • Mathieu , M . 1989 . Elementary operators on prime C*-algebras . I. Math. Ann. , 284 : 223 – 244 .
  • Müller , V . 2007 . “ Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras ” . In Operator Theory: Advances and Applications , 2nd , Vol. 139 , x + 439 Basel : Birkhäuser Verlag .

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