Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Strong Trotter Property for Locally $\mu$-convex Lie Groups   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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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin