When unit groups of continuous inverse algebras are regular Lie groups

Helge 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 -