Local Properties of Ternary Rings of Operators and Their Linking C *-Algebras☆
Local Properties of Ternary Rings of Operators and Their Linking C *-Algebras☆
复制标题
DOI：
10.1006/jfan.2002.3951
复制
发表时间：
2002-11
影响因子：
1.7
通讯作者：
Manmohan Kaur;Z. Ruan
中科院分区：
文献类型：
--
作者：
Manmohan Kaur;Z. Ruan
摘要本文证明了算子三元环的一些局部性质（如核性、精确性和局部自反性）与其连接C * -代数的局部性质密切相关。我们还给出了核TROs的一些等价条件，并证明了Haagerup的完全有界映射分解性质和Pisier的δ-范数可以很自然地推广到TROs。
Abstract We show that some local properties (such as nuclearity, exactness, and local reflexivity) of ternary rings of operators (TROs) are closely related to the local properties of their linking C * -algebras. We also show some equivalent conditions for nuclear TROs, and show that Haagerup's decomposition property for completely bounded maps and Pisier's δ-norm can be naturally generalized to TROs.