We prove that every locally quasi-convex Schwartz group satisfies the Glicksberg theorem for weakly compact sets.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-2-5, author = {Lydia Au\ss enhofer}, title = {On the Glicksberg theorem for locally quasi-convex Schwartz groups}, journal = {Fundamenta Mathematicae}, volume = {201}, year = {2008}, pages = {163-177}, zbl = {1166.22001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-2-5} }
Lydia Außenhofer. On the Glicksberg theorem for locally quasi-convex Schwartz groups. Fundamenta Mathematicae, Tome 201 (2008) pp. 163-177. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-2-5/