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arXiv · 1802.08923

The Strong Trotter Property for Locally $\mu$-convex Lie Groups

Maximilian Hanusch
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Abstract

We show that an infinite dimensional Lie group in Milnor's sense has the strong Trotter property if it is locally $\mu$-convex. This is a continuity condition imposed on the Lie group multiplication that generalizes the triangle inequality for locally convex vector spaces, and is equivalent to $C^0$-continuity of the evolution map on its domain. In particular, the result proven in this paper significantly extends the respective result obtained by Gl\"ockner in the context of measurable regularity.

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Maximilian Hanusch. 2018-02-24. The Strong Trotter Property for Locally $\mu$-convex Lie Groups. https://arxiv.org/abs/1802.08923

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