Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups
In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A genera...
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| Format: | Article |
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| Language: | English |
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University of Tehran
2006-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf |
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| collection | DOAJ |
| description | In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established. |
| format | Article |
| id | doaj-art-2364e956b7e441fd9ada3fa5ed69757b |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2006-06-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-2364e956b7e441fd9ada3fa5ed69757b2025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142006-06-0117231734Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-SemigroupsIn the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established.https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf |
| spellingShingle | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups Journal of Sciences, Islamic Republic of Iran |
| title | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups |
| title_full | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups |
| title_fullStr | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups |
| title_full_unstemmed | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups |
| title_short | Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups |
| title_sort | decomposition of h algebra valued negative definite functions on topological semigroups |
| url | https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf |