The Strong Trotter Property for Locally $\mu$-convex Lie Groups
| Autor: | Hanusch, Maximilian |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | J. Lie Theory (2020), Vol. 30, No. 1, 025-032 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 8 pages. Version as published in J. Lie Theory |
| Databáze: | arXiv |
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