On K0-groups of operator algebras on Banach spaces |
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| Authors: | Zhang Yunnan Zhong Huaijie and Su Weigang |
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| Institution: | (1) School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, China |
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| Abstract: | This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K
0(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 ≈ X
2 is not a sufficient condition of K
0(B(X)) = 0. |
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| Keywords: | Banach space operator Banach algebra K 0-group |
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