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E. G. Effros, Z. J. Ruan. Operator spaces. London: Mathematical Society Monographs, New Series 23; New York: The Clarenon Press; Oxford: Oxford University Press, 2000.

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• 标题: 关于C*-代数的算子空间投影张量积的一个注记A Note on the Operator Space Projective Tensor Product of C*-Algebras

  作者: 季井先, 陈培鑫

  关键字: 算子空间, 投影张量积, C*-代数Operator Space; Projective Tensor Product; C*-Algebras

  期刊名称: 《Pure Mathematics》, Vol.3 No.3, 2013-05-17

  摘要: 对于C*-代数和，我们讨论Banach*-代数的一些性质。接着我们证明C*-代数的算子空间投影张量积保持*-同态映射并给出Banach*-代数的一个全局性性质。最后得到一个关于对偶空间的收敛性质的刻画。 For C*-algebras and , we discuss some properties of the Banach*-algebra . Then, we prove that the operator space projective tensor product of C*-algebras preserves *-homomorphism and a universal property of Banach*-algebra will be given. At last, a characterization of the convergence property of dual space is also obtained.