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On the stability of θ-derivations on JB*-triples

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Abstract.

We introduce the concept of θ-derivations on JB*-triples and prove the Hyers–Ulam-Rassias stability of θ-derivations on JB*-triples. We deal with the Hyers-Ulam-Rassias stability that was first introduced by Th. M. Rassias in the paper “On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300”.

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Authors and Affiliations

  1. Department of Mathematics, Chungnam National University, Daejeon, 305–764, SOUTH KOREA

    Choonkil Baak

  2. Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, 91775, IRAN

    Mohammad Sal Moslehian

  3. Centre of Excellency in Analysis on Algebraic Structures (CEAAS), Ferdowsi University and Banach Mathematical Research Group (BMRG), IRAN

    Mohammad Sal Moslehian

Authors
  1. Choonkil Baak
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  2. Mohammad Sal Moslehian
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Corresponding author

Correspondence to Choonkil Baak.

Additional information

The first author was supported by Korea Research Foundation Grant KRF-2005-070-C00009.

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Baak, C., Moslehian, M.S. On the stability of θ-derivations on JB*-triples. Bull Braz Math Soc, New Series 38, 115–127 (2007). https://doi.org/10.1007/s00574-007-0039-0

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  • DOI: https://doi.org/10.1007/s00574-007-0039-0

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