非交换Lebesgue空间中的多指标p-正交和
Multi-indexed p-orthogonal sums in non-commutative Lebesgue spaces
摘要：
本文推广了非交换Lebesgue空间中最近的一个关于p-正交和的Pisier不等式。为此，我们推广的概念p-正交的多指标家庭的运营商。这类族自然地出现在某些与自由群有关的非交换Khintchine型不等式中。其他p-正交族由Rademacher变量的齐次算子值多项式或多指标鞅差序列给出。与Pisier的结果一样，我们的工具主要是组合的。
英文摘要：
In this paper we extend a recent Pisier's inequality for p-orthogonal sums in non-commutative Lebesgue spaces. To that purpose, we generalize the notion of p-orthogonality to the class of multi-indexed families of operators. This kind of families appear naturally in certain non-commutative Khintchine type inequalities associated with free groups. Other p-orthogonal families are given by the homogeneous operator-valued polynomials in the Rademacher variables or the multi-indexed martingale difference sequences. As in Pisier's result, our tools are mainly combinatorial.
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