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Ternary weighted function and Beurling ternary Banach algebra \(l_1^{\omega}(S)\) - MaRDI portal

Ternary weighted function and Beurling ternary Banach algebra \(l_1^{\omega}(S)\) (Q657102)

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scientific article; zbMATH DE number 5997780
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Ternary weighted function and Beurling ternary Banach algebra \(l_1^{\omega}(S)\)
scientific article; zbMATH DE number 5997780

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    Ternary weighted function and Beurling ternary Banach algebra \(l_1^{\omega}(S)\) (English)
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    16 January 2012
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    Summary: Let \(S\) be a ternary semigroup. In this paper, we introduce our notation and prove some elementary properties of a ternary weight function \(\omega\) on \(S\). Also, we define a ternary weighted algebra \(l^{\omega}_1 (S)\) and show that \(l^{\omega}_1 (S)\) is a ternary Banach algebra.
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    ternary weighted algebra
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