| On K_0-groups of operator algebras on Banach spaces |
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| 引用本文： | ZHANG Yunnan,ZHONG Huaijie & SU Weigang School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China. On K_0-groups of operator algebras on Banach spaces[J]. 中国科学A辑(英文版), 2006, 49(2). DOI: 10.1007/s11425-005-0042-0 |
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| 作者姓名： | ZHANG Yunnan ZHONG Huaijie & SU Weigang School of Mathematics and Computer Science Fujian Normal University Fuzhou 350007 China |
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| 作者单位： | ZHANG Yunnan，ZHONG Huaijie & SU Weigang School of Mathematics and Computer Science，Fujian Normal University，Fuzhou 350007，China |
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| 基金项目： | 中国科学院资助项目;福建省自然科学基金 |
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| 摘 要： | This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's sufficient condition, gives an example to show that X ≈ X2 is not a sufficient condition of K0(B(X)) = 0.
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On K0-groups of operator algebras on Banach spaces |
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| ZHANG Yunnan,ZHONG Huaijie,SU Weigang. On K0-groups of operator algebras on Banach spaces[J]. Science in China(Mathematics), 2006, 49(2). DOI: 10.1007/s11425-005-0042-0 |
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| Authors: | ZHANG Yunnan ZHONG Huaijie SU Weigang |
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| Abstract: | This paper merges some classifications of G-M-type Banach spaces simplifically,discusses the condition of K0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's sufficient condition, gives an example to show that X ≈ X2is not a sufficient condition of Ko(B(X)) = 0. |
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| Keywords: | Banach space operator Banach algebra Ko-group |
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