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Then the $K_0$-group of $\\mathscr{B}(X)$ is isomorphic to the additive group $\\mathbb{Z}$ of integers.\n  A number of Banach spaces which satisfy the above conditions are identified. 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Then the $K_0$-group of $\\mathscr{B}(X)$ is isomorphic to the additive group $\\mathbb{Z}$ of integers.\n  A number of Banach spaces which satisfy the above conditions are identified. 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