CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 46T25 ( Holomorphic maps [See also 46G20] )

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2003 (vol 55 pp. 969)

Glöckner, Helge
Lie Groups of Measurable Mappings
We describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space $(X,\Sigma,\mu)$ and (possibly infinite-dimensional) Lie group $G$, we construct a Lie group $L^\infty (X,G)$, which is a Fr\'echet-Lie group if $G$ is so. We also show that the weak direct product $\prod^*_{i\in I} G_i$ of an arbitrary family $(G_i)_{i\in I}$ of Lie groups can be made a Lie group, modelled on the locally convex direct sum $\bigoplus_{i\in I} L(G_i)$.

Categories:22E65, 46E40, 46E30, 22E67, 46T20, 46T25

© Canadian Mathematical Society, 2014 : https://cms.math.ca/