Geodesic
Regularity in Milnor's Sense for Ascending Unions of Banach-Lie Groups
Journal of Lie theory, Tome 24 (2014) no. 2, pp. 545-56 Cet article a éte moissonné depuis la source Heldermann Verlag

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We give a criterion for the union of an ascending sequence of Banach-Lie groups to be a regular Lie group in Milnor's sense. It was shown in earlier work that this union carries a Lie group structure. We use the differential calculus by Michal-Bastiani (Keller's Cc∞-calculus).
Classification : 58B25, 22E65
Mots-clés : Banach-Lie group, Baker-Campbell-Hausdorff-series, complex analytic mapping, direct limit, infinite dimensional Lie group, Lie theory, local Lie group, locally convex vector space, non-linear functional analysis, regular Lie group 
@article{JLT_2014_24_2_JLT_2014_24_2_a11,
     author = {R. Dahmen },
     title = {Regularity in {Milnor's} {Sense} for {Ascending} {Unions} of {Banach-Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {545--56},
     year = {2014},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a11/}
}
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R. Dahmen . Regularity in Milnor's Sense for Ascending Unions of Banach-Lie Groups. Journal of Lie theory, Tome 24 (2014) no. 2, pp. 545-56. http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a11/