The higher duals of certain class of Banach algebras
A.R. Khoddami, H.R. Ebrahimi Vishki

TL;DR
This paper investigates the properties of a specific class of Banach algebras formed by a fixed functional, focusing on their duals and properties like Arens regularity, weak amenability, and semi-simplicity.
Contribution
It introduces a new class of Banach algebras $_\varphi A$ based on a fixed functional and analyzes their higher duals and key algebraic properties.
Findings
$_\varphi A$ can be Arens regular under certain conditions
The algebra's $n$-weak amenability is characterized
Semi-simplicity depends on the properties of $\varphi$
Abstract
Given a Banach space and fix a non-zero with . Then the product turning into a Banach algebra which will be denoted by Some of the main properties of such as Arens regularity, -weak amenability and semi-simplicity are investigated.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Banach Space Theory
