Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)

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.

Bibliographic Details
Main Authors: Mehdi Dehghanian, Mohammad Sadegh Modarres Mosadegh
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/206165
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spelling doaj-cde73bca37f24e229b8580479fa6e3672020-11-24T22:31:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/206165206165Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)Mehdi Dehghanian0Mohammad Sadegh Modarres Mosadegh1Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranDepartment of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranLet 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.http://dx.doi.org/10.1155/2011/206165
collection DOAJ
language English
format Article
sources DOAJ
author Mehdi Dehghanian
Mohammad Sadegh Modarres Mosadegh
spellingShingle Mehdi Dehghanian
Mohammad Sadegh Modarres Mosadegh
Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
Abstract and Applied Analysis
author_facet Mehdi Dehghanian
Mohammad Sadegh Modarres Mosadegh
author_sort Mehdi Dehghanian
title Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
title_short Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
title_full Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
title_fullStr Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
title_full_unstemmed Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S)
title_sort ternary weighted function and beurling ternary banach algebra l1ω(s)
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.1155/2011/206165
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AT mohammadsadeghmodarresmosadegh ternaryweightedfunctionandbeurlingternarybanachalgebral1ōs
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