# When unit groups of continuous inverse algebras are regular Lie groups

Helge Glöckner; Karl-Hermann Neeb

Studia Mathematica (2012)

- Volume: 211, Issue: 2, page 95-109
- ISSN: 0039-3223

## Access Full Article

top## Abstract

top## How to cite

topHelge Glöckner, and Karl-Hermann Neeb. "When unit groups of continuous inverse algebras are regular Lie groups." Studia Mathematica 211.2 (2012): 95-109. <http://eudml.org/doc/285662>.

@article{HelgeGlöckner2012,

abstract = {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.},

author = {Helge Glöckner, Karl-Hermann Neeb},

journal = {Studia Mathematica},

keywords = {unit group; Lie group; inverse algebra; regularity; product integral; evolution; initial value problem},

language = {eng},

number = {2},

pages = {95-109},

title = {When unit groups of continuous inverse algebras are regular Lie groups},

url = {http://eudml.org/doc/285662},

volume = {211},

year = {2012},

}

TY - JOUR

AU - Helge Glöckner

AU - Karl-Hermann Neeb

TI - When unit groups of continuous inverse algebras are regular Lie groups

JO - Studia Mathematica

PY - 2012

VL - 211

IS - 2

SP - 95

EP - 109

AB - 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.

LA - eng

KW - unit group; Lie group; inverse algebra; regularity; product integral; evolution; initial value problem

UR - http://eudml.org/doc/285662

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.