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.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/206165 |
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| author | Mehdi Dehghanian Mohammad Sadegh Modarres Mosadegh |
| author_facet | Mehdi Dehghanian Mohammad Sadegh Modarres Mosadegh |
| author_sort | Mehdi Dehghanian |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-cde73bca37f24e229b8580479fa6e367 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cde73bca37f24e229b8580479fa6e3672025-02-03T06:10:52ZengWileyAbstract 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 |
| spellingShingle | Mehdi Dehghanian Mohammad Sadegh Modarres Mosadegh Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S) Abstract and Applied Analysis |
| title | 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_short | Ternary Weighted Function and Beurling Ternary Banach Algebra l1ω(S) |
| title_sort | ternary weighted function and beurling ternary banach algebra l1ω s |
| url | http://dx.doi.org/10.1155/2011/206165 |
| work_keys_str_mv | AT mehdidehghanian ternaryweightedfunctionandbeurlingternarybanachalgebral1ōs AT mohammadsadeghmodarresmosadegh ternaryweightedfunctionandbeurlingternarybanachalgebral1ōs |