A note on \(\delta\)-Jordan homomorphism on Banach algebras

  • Authors

    • Abbas Zivari-Kazempour Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.
    2014-05-26
    https://doi.org/10.14419/gjma.v2i2.2497

  • Abstract

    In this paper we show that, under special hypotheses, each \(\delta\)-Jordan homomorphism \(\varphi\) between Banach algebras A and B is continuous and almost multiplicative.

    Keywords: \(\delta\)-Jordan homomorphism, almost multiplicative, Semisimple.

  • References

    1. E. Ansari-Piri and N. Eghbali, "A note on multiplicative and almost multiplicative linear maps", Honam Math. J, Vol. 4, (2005), pp. 641-647.
    2. F. F. Bonsall and J. Duncan, Complete normed algebra, Springer-Verlag, New York, (1973).
    3. K. Jarosz, "Perturbation of Banach algebras", Lecture Notes in Mathematics, Springer-verlag, (1985).
    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). A note on \(\delta\)-Jordan homomorphism on Banach algebras. Global Journal of Mathematical Analysis, 2(2), 70-72. https://doi.org/10.14419/gjma.v2i2.2497

    Received date: 2014-04-19

    Accepted date: 2014-05-17

    Published date: 2014-05-26