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Perturbations of higher ternary derivations in Banach ternary algebras

정용수|박규홍
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 387-399

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참고문헌

키워드

stabilityhigher ternary derivationapproximately higher ternary derivation
주제분류수학

초록

We investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation f(λ₁x + λ₂y + λ₃z) = λ₁f(x) + λ₂f(y) + λ₃f(z).

Abstract

We investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation f(λ₁x + λ₂y + λ₃z) = λ₁f(x) + λ₂f(y) + λ₃f(z).

참고문헌 (22)

  1. V. Abramov, "Hypersymmetry: A Z3-graded generalization of supersymmetry", J. Math. Phys, 38, pp.1650~1669 (1997)
  2. R. Badora, "On approximate ring homomorphisms", J. Math. Anal. Appl, 276, pp.589~597 (2002)
  3. R. Badora, "On approximate derivations", Math. Inequal. & Appl, 9, pp.167~173 (2006)
  4. D. G. Bourgin, "Approximately isometric and multiplicative transformations on continuous function rings", Duke Math. J, 16, pp.385~397 (1949)
  5. A. Cayley, , Cambridge Math. Journ, 4, pp.1~ (1845)
  6. Z. Gajda, "On stability of additive mappings", Internat. J. Math. Math. Sci, 14, pp.431~434 (1991)
  7. P. Gˇavrut, "ˇa, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
  8. O. Hatori, "Ring derivations on semi-simple commutative Banach algebras", Tokyo J. Math, 15, pp.223~229 (1992)
  9. D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad, 27, pp.222~224 (1941)
  10. G. Isac, "On the Hyers-Ulam stability of ψ-additive mappings", J. Approx. Theorey, 72, pp.131~137 (1993)
  11. N. P. Jewell, "Continuity of module and higher derivations", Pacific J. Math, 68, pp.91~98 (1977)
  12. B. E. Johnson, "Approximately multiplicative maps between Banach algebras", J. London Math. Soc, 37(2), pp.294~316 (1988)
  13. Y.-S. Jung, "On the generalized Hyers-Ulam stability of module derivations", J. Math. Anal. Appl, 339, pp.108~114 (2008)
  14. R. V. Kadison, "Means and convex conbinations of unitary operators", Math. Scand, 57, pp.249~266 (1985)
  15. M. Kapranov, "Discriminants, Resultants, and Multidimensional Determinants" (1994), Birkh¨auser
  16. Ternary algebraic structures and their applications in physics, "R. Kerner", ~
  17. T. Miura, "A perturbation of ring derivations on Banach algebras", J. Math. Anal. Appl, 319, pp.522~530 (2006)
  18. M. S. Moslehian, "Almost derivations on C∗-ternary rings", Bull. Belg. Math. Soc.-Simon Stevin, 14, pp.135~142 (2007)
  19. J. Nambu, "p", Physical Review, D7, pp.2405~ (1973)
  20. C. Park, "Isomorphisms between C∗-ternary algebras", J. Math. Anal. Appl, 327, pp.101~115 (2007)
  21. 박춘길, "d-ISOMETRIC LINEAR MAPPINGS IN LINEAR d-NORMED BANACH MODULES", 대한수학회지, 45(1), pp.249~271 (2008), 대한수학회
  22. C. Park, "Isomorphisms in quasi-Banach algebras", Bull. Korean Math. Soc, 45(1), pp.111~118 (2008)

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