10.30495/maca.2019.679848

Cohen's factorization theorem for ternary Banach algebras

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  • Ali Jabbari1,
  1. Young Researchers and Elite Club, Islamic Azad University, Ardabil Branch, Ardabil, Iran

Published in Issue 2019-01-01

How to Cite

Cohen’s factorization theorem for ternary Banach algebras. (2019). Mathematical Analysis and Its Contemporary Applications, 1(1). https://doi.org/10.30495/maca.2019.679848

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Abstract

In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.

Keywords

  • approximate identity,
  • approximating set,
  • ternary Banach algebra
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References

  1. V. Abramov, R. Kerner, O. Liivapuu and S. Shitov, Algebras with ternary law of composition and their realization by cubic matrices, Journal of Generalized Lie Theory and Applications, 3(2)(2009), 77-94.
  2. F. F. Bonsall and J. Duncan, Complete normed algebras, Springer-Verlag, Berlin, 1973.
  3. A. Cayley, On the 34 concomitants of the ternary cubic, Amer. J. Math., 4(1-4)(1881), 1-15.
  4. H. G. Dales, Banach algebras and automatic continuity, London Math. Society Monographs, 24, Clarendon Press, Oxford, 2000.
  5. M. Eshaghi Gordji, R. Farrokhzad and S. A. R. Hosseinioun, Hyers-Ulam stability of ternary (σ, t, ζ)-derivations on C∗-ternary algebras, J. Math. Phys. Anal. Geom., 8(1)(2012), 3-20.
  6. M. Eshaghi Gordji, A. Jabbari, A. Ebadian and S. Ostadbashi, Automatic continuity of 3homomorphisms on ternary Banach algebras, Inter. J. Geom. Meth. Mod. Phys., 10(10)(2013), 1320013.
  7. M. Eshaghi Gordji, A. Jabbari and G. H. Kim, Approximate identity in ternary Banach algebras, Abs. Appl. Anal., (2012), Article ID 386785, 6 pages.
  8. M. Kapranov, I. M. Gelfand and A. Zelevinskii, Discrimininants, Resultants and Multidimensional Determinants, Birkhauser, Berlin, 1994.
  9. R. Kerner, Ternary and non-associative structures, Inter. J. Geom. Meth. Modern Phys., 5(8)(2008), 1265-1294.
  10. R. Kerner, The cubic chessboard, Geom. Phys. Class. Quantum Grav., 14(1A)(1997), 203-225.
  11. E. L. Post, Polyadic groups, Trans. Amer. Math. Soc., 48(1940), 208-350.
  12. G. L. Sewell, Quantum mechanics and its emergent macrophysics, Princeton Univ. Press, Princeton, NJ, 2002.
  13. H. Zettl, A characterization of ternary rings of operators, Adv. Math., 48(1993), 117-143.