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arXiv · 2012.12131

The compression semigroup of the dual Vinberg cone

Hideyuki Ishi·Khalid Koufany
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Abstract

We investigate the semigroup associated to the dual Vinberg cone and prove its triple and Ol'shanski\u{\i} polar decompositions. Moreover, we show that the semigroup does not have the contraction property with respect to the canonical Riemannian metric on the cone.

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Hideyuki Ishi, Khalid Koufany. 2020-12-22. The compression semigroup of the dual Vinberg cone. https://arxiv.org/abs/2012.12131

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