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Abstract and Applied Analysis
Volume 2011, Article ID 206165, 9 pages
Research Article

Ternary Weighted Function and Beurling Ternary Banach Algebra 𝑙𝜔𝟏(𝑆)

Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran

Received 26 July 2011; Accepted 29 August 2011

Academic Editor: Gabriel Turinici

Copyright © 2011 Mehdi Dehghanian and Mohammad Sadegh Modarres Mosadegh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 𝑙𝜔1(𝑆) and show that 𝑙𝜔1(𝑆) is a ternary Banach algebra.