OPERATOR MULTIPLIERS
OPERATOR MULTIPLIERS
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运算符乘法器
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
V. Shulman
中科院分区：
文献类型：
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作者：
Operator Multipliers;E. Kissin;V. Shulman
我们介绍了一个非交换版本的舒尔乘子相对于一个运营商的理想。在这种情况下，两个变量的函数被C*-代数的张量积中的元素所取代，而测度（或谱测度）则被表示所取代。对于交换C*-代数，这种方法与Birman和Solomyak的双算子积分理论一致。我们研究的依赖空间的乘数上的选择表示，并发现这个问题是密切相关的Voiculescu和Arveson的理论近似等价的表示。关于所选测度的泛乘子空间与代数的Haagerup张量积有关。
We introduce a noncommutative version of Schur multipliers relative to an operator ideal. In this setting the functions of two variables are replaced by elements from a tensor product of C*-algebras, and the measures (or spectral measures) by representations. For commutative C*-algebras this approach agrees with Birman and Solomyak’s theory of double operator integrals. We study the dependence of the spaces of multipliers on the choice of representations and find that the question is closely related to Voiculescu and Arveson’s theory of approximately equivalent representations. The space of multipliers universal with respect to the chosen measures is related to the Haagerup tensor product of the algebras.