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On the Generalized Hyers-Ulam-Rassias Stability of Higher Ring Derivations

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We establish the generalized Hyers-Ulam-Rassias stability of higher ring derivations. Furthermore, we use the superstability of higher ring derivations to obtain approximately higher linear derivations mapping into the Jacobson radical under some conditions.

Abstract

We establish the generalized Hyers-Ulam-Rassias stability of higher ring derivations. Furthermore, we use the superstability of higher ring derivations to obtain approximately higher linear derivations mapping into the Jacobson radical under some conditions.

참고문헌 (12)

  1. R. Badora, "On approximate ring homomorphisms", J. Math. Anal. Appl., 276(2), pp.589~597 (2002)
  2. R. Badora, "On approximate derivations", Math. Inequal. Appl., 9(1), pp.167~173 (2006)
  3. D. G. Bourgin, "Approximately isometric and multiplicative transformations on con- tinuous function rings", Duke Math. J., 16, pp.385~397 (1949)
  4. Z. Gajda, "On stability of additive mappings", Internat. J. Math., 14, pp.431~434 (1991)
  5. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximatelyadditive mappings", J. Math. Anal. Appl., 184, pp.431~436 (1994)
  6. O. Hatori, "Ring derivations on semi-simple commutative Banach alge-bras", Tokyo J. Math., 15, pp.223~229 (1992)
  7. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad.Sci., 27, pp.222~224 (1941)
  8. K.-W. Jun, "The image of a continuous strong higher derivation iscontained in the radical", Bull. Korean Math. Soc., 33, pp.229~233 (1996)
  9. T. Miura, "A perturbation of ring derivations onBanach algebras", J. Math. Anal. Appl., 319, pp.522~530 (2006)
  10. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer.Math. Soc., 72, pp.297~300 (1978)
  11. I. M. Singer, "Derivations on commutative normed algebras", Math.Ann., 129, pp.260~264 (1955)
  12. S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience Publ.

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