• Title/Summary/Keyword: Cauchy homomorphism

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STABILITY OF HOMOMORPHISMS AND DERIVATIONS IN PROPER JCQ*-TRIPLES ASSOCIATED TO THE PEXIDERIZED CAUCHY TYPE MAPPING

  • Najati, Abbas;Eskandani, G. Zamani;Park, Choon-Kil
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.45-60
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    • 2009
  • 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.