| 猜测“存在Banach空间X使得K_0(B(X))=Z_2”的一个注记 |
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| 引用本文： | 张云南,林丽琼.猜测“存在Banach空间X使得K_0(B(X))=Z_2”的一个注记[J].数学学报,2011(2):313-320. |
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| 作者姓名： | 张云南 林丽琼 |
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| 作者单位： | 福建师范大学数学与计算机科学学院;福州大学数学与计算机科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10926173); 福建省自然科学基金资助项目(2009J05002) |
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| 摘 要： | 讨论Banach空间X上算子代数B(X)的K_0群,给出K_0(B(X))=Z_2的2个充分条件.
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| 关 键 词： | Banach空间 算子代数 K_0群 |
A Note on the GuessThere Exists a Banach Space X with K_0(B(X))=Z_2 |
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| Yun Nan ZHANG School of Mathematics , Computer Science,Fujian Normal University,Fuzhou ,P.R.China Li Qiong LIN College of Mathematics , Computer Science,Fuzhou University,Fuzhou ,P.R.China School of Mathematics , Computer Science,P.R.China.A Note on the GuessThere Exists a Banach Space X with K_0(B(X))=Z_2[J].Acta Mathematica Sinica,2011(2):313-320. |
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| Authors: | Yun Nan ZHANG School of Mathematics Computer Science Fujian Normal University Fuzhou PRChina Li Qiong LIN College of Mathematics Computer Science Fuzhou University Fuzhou PRChina School of Mathematics Computer Science PRChina |
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| Institution: | Yun Nan ZHANG School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,P.R.China Li Qiong LIN College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350002,P.R.China School of Mathematics and Computer Science,P.R.China |
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| Abstract: | This paper discusses the K_0-group of the operator algebra B(X) on Banach space X and gives two sufficient conditions for K_0(B(X)) = Z_2. |
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| Keywords: | Banach spaces operator algebras K_0-groups |
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