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Information Journal Paper

Title

ON THE DENSENESS OF THE INVERTIBLE GROUP IN UNIFORM FRECHET ALGEBRAS

Pages

  15-27

Abstract

 We first extend the ARENS-ROYDEN THEOREM to unital, commutative Frechet algebras under certain conditions. Then, we show that if A is a UNIFORM FRECHET ALGEBRA on X=MA, where MA is the continuous character space of A, then A does not have dense INVERTIBLE GROUP, if we impose some conditions on X. On the other hand, if A has dense INVERTIBLE GROUP, then it is shown that A=C (X), with certain conditions on X. Thus, the results of Dawson and Feinstein on denseness of the INVERTIBLE GROUP in Banach algebras are extended to UNIFORM FRECHET ALGEBRAs.

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    • Cite

    APA: Copy

    GHASEMI HONARY, T., & NAJAFI TAVANI, M.. (2011). ON THE DENSENESS OF THE INVERTIBLE GROUP IN UNIFORM FRECHET ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 15-27. SID. https://sid.ir/paper/628047/en

    Vancouver: Copy

    GHASEMI HONARY T., NAJAFI TAVANI M.. ON THE DENSENESS OF THE INVERTIBLE GROUP IN UNIFORM FRECHET ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):15-27. Available from: https://sid.ir/paper/628047/en

    IEEE: Copy

    T. GHASEMI HONARY, and M. NAJAFI TAVANI, “ON THE DENSENESS OF THE INVERTIBLE GROUP IN UNIFORM FRECHET ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 15–27, 2011, [Online]. Available: https://sid.ir/paper/628047/en

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