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
DOI: 10.12677/PM.2013.33026, PDF, HTML, 下载: 2,973  浏览: 5,470 
作者: 季井先*, 陈培鑫：南京理工大学理学院
关键词: 算子空间；投影张量积；C*-代数；Operator Space; Projective Tensor Product; 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.
文章引用：季井先, 陈培鑫. 关于C*-代数的算子空间投影张量积的一个注记[J]. 理论数学, 2013, 3(3): 176-180. http://dx.doi.org/10.12677/PM.2013.33026

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