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Let S be a ternary semigroup. In this paper, we introduce our notation and prove some elementary properties of a ternary weight function ω on S. Also, we make ternary weighted algebra l1ω(S) and show that l1ω(S) is a ternary Banach algebra

abstract and applied analysis

Ternary Weighted Function and Beurling Ternary Banach Algebra<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msubsup><mml:mi>l</mml:mi><mml:mn mathvariant="bold">1</mml:mn><mml:mi>ω</mml:mi></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>S</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>

Ternary Weighted Function and Beurling Ternary Banach Algebral1ω(S)