Abstract and Applied Analysis
Volume 2011 (2011), Article ID 206165, 9 pages
http://dx.doi.org/10.1155/2011/206165
Research Article

Ternary Weighted Function and Beurling Ternary Banach Algebra 𝑙 𝜔 𝟏 ( 𝑆 )

Mehdi Dehghanian and Mohammad Sadegh Modarres Mosadegh

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.

Abstract

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 𝑙 𝜔 1 ( 𝑆 ) and show that 𝑙 𝜔 1 ( 𝑆 ) is a ternary Banach algebra.