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Enveloping Dual Banach Algebras and Approximate Properties

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  • N. Razi
  • A. Pourabbas
  • Mohammad W. Alomari

Abstract

Suppose that A is a Banach algebra and FA is its enveloping dual Banach algebra, we show that FA is approximately contractible (approximately amenable) if A has the same property. Also, we study the relation between the pseudoamenability of FA and the pseudoamenability of the second dual A∗∗ and we also characterize approximate biflatness and approximate biprojectivity of FA associated with approximate biflatness and approximate biprojectivity of the second dual A∗∗.

Suggested Citation

  • N. Razi & A. Pourabbas & Mohammad W. Alomari, 2024. "Enveloping Dual Banach Algebras and Approximate Properties," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, April.
    • Handle: RePEc:hin:jjmath:6300080
    DOI: 10.1155/2024/6300080
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