The higher duals of certain class of Banach algebras

2010/07/09 by A. R. Khoddami, Khoddami, A. R., H. R. Ebrahimi Vishki +1
Mathematics · #46H20 #46H25 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46H20 #msc:46H25

paper · pdf · doi:10.48550/arxiv.1007.1651

6 pages

arxiv created 2010/07/09 · arxiv updated 2010/07/12

Abstract

Given a Banach space A and fix a non-zero φ∈ A^* with ‖φ‖≤ 1. Then the product a⋅ b=⟨φ, a⟩ b turning A into a Banach algebra which will be denoted by _φA. Some of the main properties of _φA such as Arens regularity, n-weak amenability and semi-simplicity are investigated.

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