| Some G-M-type Banach spaces and K-groups of operator algebras on them |
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| 引用本文： | ZHONG Huaijie,CHEN Dongxiao,CHEN Jianlan Department of Mathematics,Fujian Normal University,Fuzhou 350007,China. Some G-M-type Banach spaces and K-groups of operator algebras on them[J]. 中国科学A辑(英文版), 2004, 47(3): 372-392. DOI: 10.1360/02ys0372 |
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| 作者姓名： | ZHONG Huaijie CHEN Dongxiao CHEN Jianlan Department of Mathematics Fujian Normal University Fuzhou 350007 China |
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| 作者单位： | ZHONG Huaijie;CHEN Dongxiao;CHEN Jianlan Department of Mathematics，Fujian Normal University，Fuzhou 350007，China |
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| 基金项目： | 国家自然科学基金，the Natural Science Ffoundation of Fujian Province of china |
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| 摘 要： | By providing several new varieties of G-M-type Banach spaces according todecomposable and compoundable properties, this paper discusses the operator structuresof these spaces and the K-theory of the algebra of the operators on these G-M-type Ba-nach spaces through calculation of the K-groups of the operator ideals contained in theclass of Riesz operators.
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Some G-M-type Banach spaces and K-groups of operator algebras on them |
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| ZHONG Huaijie,CHEN Dongxiao,CHEN Jianlan. Some G-M-type Banach spaces and K-groups of operator algebras on them[J]. Science in China(Mathematics), 2004, 47(3): 372-392. DOI: 10.1360/02ys0372 |
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| Authors: | ZHONG Huaijie CHEN Dongxiao CHEN Jianlan |
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| Affiliation: | Department of Mathematics, Fujian Normal University, Fuzhou 350007, China |
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| Abstract: | By providing several new varieties of G-M-type Banach spaces according todecomposable and compoundable properties, this paper discusses the operator structuresof these spaces and the K-theory of the algebra of the operators on these G-M-type Ba-nach spaces through calculation of the K-groups of the operator ideals contained in theclass of Riesz operators. |
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| Keywords: | incompoundable Banach space radical operator ideal Banach algebra K-theory |
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