空间CPD-半群与CP-半群的幂和
The Powers Sum of spatial CPD-semigroups and CP-semigroups
摘要：
定义了空间CPD-半群，构造了空间CPD-半群的幂和。构造了一般空间CP-半群的幂和。在这两种情况下，我们表明，产品系统的权力和是产品的空间产品系统的因素。我们证明了在交域上，一方面是点态有界的CPD-半群，另一方面是Schur CP-半群，它们的构造是一致的。这总结了所有已知的结果的幂和和，并推广了他们相当。
英文摘要：
We define spatial CPD-semigroup and construct their Powers sum. We construct the Powers sum for general spatial CP-semigroups. In both cases, we show that the product system of that Powers sum is the product of the spatial product systems of its factors. We show that on the domain of intersection, pointwise bounded CPD-semigroups on the one side and Schur CP-semigroups on the other, the constructions coincide. This summarizes all known results about Powers sums and generalizes them considerably.
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