Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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STABILITY OF HOMOMORPHISMS AND DERIVATIONS IN PROPER JCQ*-TRIPLES ASSOCIATED TO THE PEXIDERIZED CAUCHY TYPE MAPPING

  • Najati, Abbas (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCES UNIVERSITY OF MOHAGHEGH ARDABILI) ;
  • Eskandani, G. Zamani (FACULTY OF MATHEMATICAL SCIENCES UNIVERSITY OF TABRIZ) ;
  • Park, Choon-Kil (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
  • Published : 2009.01.31
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Abstract

In this paper, we investigate homomorphisms in proper $JCQ^*$-triples and derivations on proper $JCQ^*$-triples associated to the following Pexiderized functional equation $$f(x+y+z)=f_0(x)+f_1(y)+f_2(z)$$. This is applied to investigate homomorphisms and derivations in proper $JCQ^*$-triples.

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References

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Cited by

  1. Hyers–Ulam–Rassias Stability of Derivations in Proper JCQ*–triples vol.10, pp.3, 2013, https://doi.org/10.1007/s00009-013-0248-2