Strassen谱定理的推广
A generalization of Strassen's spectral theorem
摘要：
给定一个半环的前序服从一定的条件，渐近谱，介绍了斯特拉森（J。Math.1988），是一个紧的T2空间连同从半环到连续函数环的映射，其包含渐近比较元素的大幂所需的所有信息。紧的渐近谱是密切联系在一起的有界性条件假设在Strassen的工作。在本文中，我们提出了一个推广，放松这一条件，同时仍然允许通过局部紧T2空间上的连续函数的渐近比较。
英文摘要：
Given a semiring with a preorder subject to certain conditions, the asymptotic spectrum, as introduced by Strassen (J. reine angew. Math. 1988), is a compact Hausdorff space together with a map from the semiring to the ring of continuous functions, which contains all information required to asymptotically compare large powers of the elements. Compactness of the asymptotic spectrum is closely tied with a boundedness condition assumed in Strassen's work. In this paper we present a generalization that relaxes this condition while still allowing asymptotic comparison via continuous functions on a locally compact Hausdorff space.
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