Title of article :
On a Class of Regular Fréchet–Lie Groups
Author/Authors :
Hermas ، Nadji Département de Mathématiques et d’Informatique - Université Ziane Achour , Bedida ، Nabila Département de Mathématiques - Faculté des Sciences Exactes - Université Frères Mentouri
Abstract :
In this work, we consider a decreasing sequence of groups (Gn)n≥1 provided with the structures of Banach manifolds and satisfying some conditions, then we show that the group G∞=⋂n≥1Gn equipped with the projective topology is a regular Lie–Fréchet group. We use this result to prove the regularity of some Fréchet–Lie groups.
Keywords :
Milnor’s regularity · Regular Lie groups · Diffeomorphism groups
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
