Journal of Lie Theory

no. 1
The Strong Trotter Property for Locally μ-Convex Lie Groups
Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 25-32
We show that an infinite dimensional Lie group in Milnor's sense has the strong Trotter property if it is locally μ-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 C0-continuity of the evolution map on its domain. In particular, the result proven in this paper significantly extends the respective result obtained by Glöckner in the context of measurable regularity.
DOI: 10.5802/jolt.1102
Classification: 22E65
Keywords: Infinite-dimensional Lie groups, Trotter property 
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     author = {M. Hanusch},
     title = {The {Strong} {Trotter} {Property} for {Locally} {\ensuremath{\mu}-Convex} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {25--32},
     year = {2020},
     volume = {30},
     number = {1},
     doi = {10.5802/jolt.1102},
     zbl = {1440.22035},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1102/}
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M. Hanusch. The Strong Trotter Property for Locally μ-Convex Lie Groups. Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 25-32. doi: 10.5802/jolt.1102

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