Geodesic
The Strong Trotter Property for Locally μ-Convex Lie Groups
Maximilian Hanusch1
1Fakultät für Mathematik und Informatik, Universität Würzburg, Würzburg, Germany
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 25-32

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E65
Mots-clés : Infinite-dimensional Lie groups, Trotter property

Maximilian Hanusch  1

1 Fakultät für Mathematik und Informatik, Universität Würzburg, Würzburg, Germany 
Maximilian Hanusch. The Strong Trotter Property for Locally μ-Convex Lie Groups. Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 25-32. http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a2/
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     author = {Maximilian 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a2/}
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