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Multiplicative linear functionals in a commutative Banach algebra

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References

  1. B. Aupetit, Une généralisation du théoreme de Gleason-Kahane-Zelazko pour les algebre de Banach. Pacific J. Math.85, 11–17 (1979).

    Google Scholar 

  2. C. Badea andI. Rasa, The Gleason-Kahane-Zelazko property and Korovkin systems in symmetric involutive Banach algebras. Arch. Math.61, 163–169 (1993).

    Google Scholar 

  3. C. P. Chen, A generalization of the Gleason-Kahane-Zelazko theorem. Pacific J. Math.107, 81–87 (1983).

    Google Scholar 

  4. A. M. Gleason, A characterization of maximal ideals. J. Analyse Math.19, 171–172 (1967).

    Google Scholar 

  5. K. Jarosz, Finite codimensional ideals in function algebras. Trans. Amer. Math. Soc.287, 313–316 (1987).

    Google Scholar 

  6. K. Jarosz, Finite codimensional ideals in Banach algebras. Proc. Amer. Math. Soc.101, 313–316 (1987).

    Google Scholar 

  7. K. Jarosz, Generalization of the Gleason-Kahane-Zelazko theorem. Rockey Mountain J. Math.21, 915–921 (1991).

    Google Scholar 

  8. J. P. Kahane andW. Zelazko, A characterization of maximal ideals in commutative Banach algebras. Studia Math.29, 339–343 (1968).

    Google Scholar 

  9. S. Kowalski andZ. Slodkowski, A characterization of multiplicative linear functionals in Banach algebras. Studia Math.67, 215–223 (1980).

    Google Scholar 

  10. S. H. Kulkarni, Gleason-Kahane-Zelazko theorem for real Banach algebras. J. Math. Phys. Sci.18, 19–28 (1984)

    Google Scholar 

  11. G. Maltese, Extreme positive functionals and ideals of finite codimension in commutative Banach*-algebras. Atti Sem. Mat. Fis. Univ. Modena39, 569–580 (1991).

    Google Scholar 

  12. G. Maltese andR. Wille, A characterization of homomorphisms in certain Banach involution algebra. Studia Math.89, 133–143 (1988).

    Google Scholar 

  13. N. V. Rao, Closed ideals of finite condimension in regular self-adjoint Banach algebras. J. Funct. Anal.82, 237–258 (1989).

    Google Scholar 

  14. M. Roitman andY. Sternfeld, When is a linear functional multiplicative? Trans. Amer. Math. Soc.267, 111–124 (1981).

    Google Scholar 

  15. W.Rudin, Functional Analysis. New York, 1973.

  16. C. R. Warner andR. Whitley, A characterization of regular maximal ideals. Pacific J. Math.30, 277–281 (1969).

    Google Scholar 

  17. C. R. Warner andR. Whitley, Ideals of finite codimension inC[0,1] andL 1 (R). Proc. Amer. Math. Soc.76, 263–267 (1979).

    Google Scholar 

  18. R. Wille, The theorem of Gleason-Kahane-Zelazko in a commutative symmetric Banach algebra. Math. Z.190, 301–304 (1985).

    Google Scholar 

  19. W. Zelazko, A characterization of multiplicative linear functionals in complex Banach algebras. Studia Math.30, 83–85 (1968).

    Google Scholar 

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  1. F. Ershad & K. Seddighi

    Present address: Department of Mathematics, Shiraz University, 71454, Shiraz, Iran

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    1. F. Ershad
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    2. K. Seddighi
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    Ershad, F., Seddighi, K. Multiplicative linear functionals in a commutative Banach algebra. Arch. Math 65, 71–79 (1995). https://doi.org/10.1007/BF01196583

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