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Jordan (φ, ψ)-derivations in JB^*-triples

Mohammad Sal Moslehian|Abbas Najati
대한수학회 (The Korean Mathematical Society)|2011.10|대한수학회논문집 (Communications of the KMS)|제26권 제4호|pp. 585-589

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참고문헌

키워드

JB^*-triple(φψ)-derivationJordan (φθ-derivationJordan θ-derivation
주제분류수학

초록

Using algebraic methods, we prove that every Jordan (φ, ψ)-derivation is a (φ, ψ)-derivation under certain conditions. In particular, we conclude that every Jordan θ-derivation is a θ-derivation.

Abstract

Using algebraic methods, we prove that every Jordan (φ, ψ)-derivation is a (φ, ψ)-derivation under certain conditions. In particular, we conclude that every Jordan θ-derivation is a θ-derivation.

참고문헌 (13)

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  7. I. N. Herstein, "Topics in Ring Theory" (1969), The University of Chicago Press
  8. T. Ho, "Derivations on real and complex JBꠗ-triples", J. London Math. Soc, 65(1), pp.85~102 (2002)
  9. W. Kaup, "A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces", Math. Z, 183(4), pp.503~529 (1983)
  10. T. Miura, "Superstability of multipliers and ring derivations on Banach algebras", Banach J. Math. Anal, 1, pp.125~130 (2007)
  11. A. Najati, "On a problem of C. Baak and M. S. Moslehian", Appl. Math. Lett, 22(5), pp.658~660 (2009)
  12. C. Park, "Approximate homomorphisms on JBꠗ-triples", J. Math. Anal. Appl, 306(1), pp.375~381 (2005)
  13. B. Russo, "Structure of JBꠗ-triples", Jordan algebras, pp.209~280 (1994), Berlin

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