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
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。
Abstract:
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.
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