Commutativity results and Continuity of Jordan homomorphism on Banach algebras

  • Authors

    • Abbas Zivari-Kazempour Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.
    2014-10-21
    https://doi.org/10.14419/gjma.v2i4.3497

  • Abstract

    In this paper we give conditions which entailing the commutativity of Banach algebra A and then we show that under special hypotheses, each Jordan homomorpishm  between Banach algebra A and B is continuous.

    Keywords: Jordan homomorphism, ring homomorphism, commutative.

  • References

    1. F. F. Bonsall and J. Duncan, Complete normed algebra, Springer-Verlag, New York, (1973).
    2. O. H. Cheikh and M. Oudadess, "On a commutativity question in Banach algebras", Gulf J. Sci. Res, Vol. 2 (1988), pp. 173-179.
    3. D. D. Draghia, "Continuity of Jordan homomorphisms of Banach algebras", Extracta Mathematicae, Vol. 10 (1995), pp. 58-59.
    4. T. Palmer, Banach algebras and the general theory C-algebras, Vol I. Cambridge: Univ Press, (1994).
    5. W. Zelazko, "A characterization of multiplicative linear functionals in complex Banach algebras", Studia Math, Vol. 30(1968), pp. 83-85.
    6. A. Zivari-kazempour, "A characterization of Jordan homomorphism on Banach algebras", Chinese J. Math, Vol. 2014, (2014), 3 pages.

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  • How to Cite

    Zivari-Kazempour, A. (2014). Commutativity results and Continuity of Jordan homomorphism on Banach algebras. Global Journal of Mathematical Analysis, 2(4), 286-289. https://doi.org/10.14419/gjma.v2i4.3497

    Received date: 2014-09-01

    Accepted date: 2014-09-22

    Published date: 2014-10-21