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:

215
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

An investigation of approximately biprojective Banach algebras

Pages

  125-132

Abstract

 The concept of approximately biprojective Banach algebras has been introduced by Pourmahmood-Aghababa [15], O. Ya. Aristov [2] and Y. Zhang [19] in different aspects of approximation. Here we follow the definition provided by Pourmahmood-Aghababa that is more general with an abundant amount of various interesting examples, and less restrictive conditions. In this paper, some hereditary properties of this notion are investigated. Indeed, we show that approximate biprojectivity of the second dual of a Banach algebra A (equipped with Arens product) implies approximate biprojectivity of A. This concept is also investigated on amalgamated Banach algebras that are genuine generalization of the direct sum of Banach algebras and includes the unitization, the Lau product, the semidirect product, and the module extension Banach algebras. We prove that the first summand in an approximately biprojective amalgamated Banach algebra is approximately biprojective, while for approximate biprojectivity of the second summand some additional hypothesis are necessary.

Cites

  • No record.

    • References

  • No record.

    • Cite

    APA: Copy

    Sattari, Mohammad Hossein. (2021). An investigation of approximately biprojective Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 7(31 ), 125-132. SID. https://sid.ir/paper/952106/en

    Vancouver: Copy

    Sattari Mohammad Hossein. An investigation of approximately biprojective Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;7(31 ):125-132. Available from: https://sid.ir/paper/952106/en

    IEEE: Copy

    Mohammad Hossein Sattari, “An investigation of approximately biprojective Banach algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 7, no. 31 , pp. 125–132, 2021, [Online]. Available: https://sid.ir/paper/952106/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