Volume 1, Issue 2 (12-2020)                   MACO 2020, 1(2): 15-24 | Back to browse issues page

‎ 10.29252/maco.1.2.2
‎ 20.1001.1.27170624.2020.1.2.2.2

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Khotanloo A. The Product Between Three Banach Algebras. MACO 2020; 1 (2) :15-24
URL: http://maco.lu.ac.ir/article-1-54-en.html
The Product Between Three Banach Algebras
Ali Khotanloo *
Abstract:   (1756 Views)
Abstract. Let A, B, and C be Banach algebras, α ∈ Hom(A, B) and β ∈ Hom(C, B), and k α k≤ 1, kβ k≤ 1. IN this paper we define the Banach algebra A×α B×β C by new product on A×B×C which is a strongly splitting extension of C by B. Then we show that these products from a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Finally we consider spectrum, Arens regularity, amenability and weak amenability of these products.
Keywords: strongly splitting extension, triangular Banach algebras, amenability, weak amenability
Full-Text [PDF 124 kb]   (972 Downloads)    
Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2020/12/30
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