论文标题
Klain定理对紧凑型集和相关主题的Minkowski对称性的概括
Generalization of Klain's Theorem to Minkowski Symmetrization of compact sets and related topics
论文作者
论文摘要
我们将证明相对于一般紧凑型集合的Minkowski对称性序列的序列结果。特别是，我们研究了该过程是由属于有限家族的子空间序列诱导的，遵循[13]中克莱恩（Klain）标记的路径，以及[4]和[2]中的概括。我们证明了特定类型紧凑型组的纤维对称性的模拟结果。研究了该集合家族的对称性的势力，从而导致Klartag [14]的简单概括通过有限数量的对称性化的球对球的近似值进行了简单的概括，并概括了近似值，并在[9]中概括了。
We shall prove a convergence result relative to sequences of Minkowski symmetrals of general compact sets. In particular, we investigate the case when this process is induced by sequences of subspaces whose elements belong to a finite family, following the path marked by Klain in [13], and the generalizations in [4] and [2]. We prove an analogue result for Fiber symmetrization of a specific class of compact sets. The idempotency for symmetrization of this family of sets is investigated, leading to a simple generalization of a result from Klartag [14] regarding the approximation of a ball through a finite number of symmetrizations, and generalizing an approximation result in [9]
