مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Persian Verion
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

video

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

sound

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Persian Version

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

View:

170
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Download:

0
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Cites:

Information Journal Paper

Title

BSE property of the completion of Fourier algebra in its multiplier algebra

Pages

  89-100

Abstract

 For a Locally compact group G, let A(G) be the Fourier algebra and let A_M (G) be the completion of this algebra in its Multiplier algebra. In this paper, we show that A(G) is an abstract Segal algebra in A_M (G). Also, a necessary and sufficient condition for equality of these two algebras is given. Then we prove that A_M (G) is an ideal in its second dual if and only if G is discrete. We show that if G is a discrete group, then A_M (G) is a BSE algebra if and only if G is M-weakly amenable. As a corollary, it is proven that A_M (F_2 ) is a BSE algebra while A(F_2 ) is not. Finally, we examine our results for the Lebasque-Fourier algebra and also give a completely new proof for equality of the character space of A(G) and A_M (G).

Cites

  • No record.

    • References

  • No record.

    • Cite

    APA: Copy

    Fozouni, Mohammad. (2021). BSE property of the completion of Fourier algebra in its multiplier algebra. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 7(31 ), 89-100. SID. https://sid.ir/paper/951834/en

    Vancouver: Copy

    Fozouni Mohammad. BSE property of the completion of Fourier algebra in its multiplier algebra. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;7(31 ):89-100. Available from: https://sid.ir/paper/951834/en

    IEEE: Copy

    Mohammad Fozouni, “BSE property of the completion of Fourier algebra in its multiplier algebra,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 7, no. 31 , pp. 89–100, 2021, [Online]. Available: https://sid.ir/paper/951834/en

    Related Journal Papers

  • No record.

    • Related Seminar Papers

  • No record.

    • Related Plans

  • No record.

    • Recommended Workshops






    Move to top
    telegram sharing button
    whatsapp sharing button
    linkedin sharing button
    twitter sharing button
    email sharing button
    email sharing button
    email sharing button
    sharethis sharing button