| The Semisimplicity of L^1 （K,w） of a Weighted Commutative Hypergroup K |
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| 引用本文： | M. LASHKARIZADEH BAMI. The Semisimplicity of L^1 （K,w） of a Weighted Commutative Hypergroup K[J]. 数学学报(英文版), 2008, 24(4): 607-610. DOI: 10.1007/s10114-007-0979-8 |
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| 作者姓名： | M. LASHKARIZADEH BAMI |
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| 作者单位： | Department of Mathematics, University of Isfahan, Isfahan, Iran |
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| 基金项目： | The author is supported by both The Research Affairs （Research Project No. 850709）,and The Center of Excellence for Mathematics of the University of Isfahan The author would like to thank the referee of the paper for his invaluable comments. |
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| 摘 要： | In the present paper, it is shown that, for a locally compact commutative hypergroup K with a Borel measurable weight function w, the Banach algebra L^1 （K, w） is semisimple if and only if L^1 （K） is semisimple. Indeed, we have improved compact groups to the general setting of locally a well-krown result of Bhatt and Dedania from locally compact hypergroups.
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| 关 键 词： | 超群 群论 计算方法 巴拿赫代数 |
| 收稿时间： | 2005-12-26 |
| 修稿时间： | 2007-01-26 |
The semisimplicity of L 1(K, w) of a weighted commutative hypergroup K |
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| M. Lashkarizadeh Bami. The semisimplicity of L 1(K, w) of a weighted commutative hypergroup K[J]. Acta Mathematica Sinica(English Series), 2008, 24(4): 607-610. DOI: 10.1007/s10114-007-0979-8 |
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| Authors: | M. Lashkarizadeh Bami |
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| Affiliation: | (1) Department of Mathematics, University of Isfahan, Isfahan, Iran |
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| Abstract: | In the present paper, it is shown that, for a locally compact commutative hypergroup K with a Borel measurable weight function w, the Banach algebra L 1(K,w) is semisimple if and only if L 1(K) is semisimple. Indeed, we have improved a well-krown result of Bhatt and Dedania from locally compact groups to the general setting of locally compact hypergroups. The author is supported by both The Research Affairs (Research Project No. 850709), and The Center of Excellence for Mathematics of the University of Isfahan |
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| Keywords: | locally compact hypergroups semisimple Banach algebras |
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