When unit groups of continuous inverse algebras are regular Lie groups

• Autorzy: Helge Glöckner , Karl-Hermann Neeb
• Języki publikacji: EN

Abstrakty

EN

It is a basic fact in infinite-dimensional Lie theory that the unit group $A^{×}$ of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group $A^{×}$ is regular in Milnor's sense. Notably, $A^{×}$ is regular if A is Mackey-complete and locally m-convex.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 34G10: Linear equations
• 46H05: General theory of topological algebras
• 58B10: Differentiability questions
• 22E65: Infinite-dimensional Lie groups and their Lie algebras: general properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 2
• Strony: 95-109

Daty

wydano

2012

Twórcy

autor

Helge Glöckner

• Universität Paderborn, Institut für Mathematik, Warburger Str. 100, 33098 Paderborn, Germany

autor

Karl-Hermann Neeb

• FAU Erlangen-Nürnberg, Department Mathematik, Cauerstr. 11, 91058 Erlangen, Germany

Identyfikatory

DOI

10.4064/sm211-2-1