Approximate Biprojectivity of ℓ1-Munn Banach Algebras. (14th November 2022)

• Record Type: Journal Article
• Authors: Zarei, G.; Pourabbas, A.; Rostami, M.; Sahami, A.
• Other Names: Alomari Mohammad Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-11-14
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/2112167
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ 1 -Munn Banach algebras when the related sandwich matrix is regular over Inv A . In fact, we show that a ℓ 1 -Munn Banach algebra with the regular sandwich matrix over Inv A is approximately biprojective (weak approximately biprojective) if and only if A is approximately biprojective (weak approximately biprojective), respectively. We also study approximate biprojectivity of upper triangular Banach algebra when the associated sandwich matrix with elements in Inv A is invertible. Finally, we apply our results to Rees semigroup algebras.