Timeline for $C^\infty$-vectors in general representations of Lie groups on locally convex spaces

9 events

when toggle format	what		by	license	comment
Sep 23, 2021 at 18:15	answer	added	paul garrett		timeline score: 1
Apr 13, 2017 at 12:58	history	edited	CommunityBot		replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 8, 2015 at 2:41	history	edited	Keenan Kidwell	CC BY-SA 3.0	added 10 characters in body
Jul 23, 2014 at 23:12	vote	accept	Keenan Kidwell
Jul 23, 2014 at 23:07	answer	added	user56365		timeline score: 11
Jul 23, 2014 at 22:47	comment	added	Keenan Kidwell		Dear @Qiaochu, Yes, Hahn-Banach holds for locally convex spaces. That's a nice idea for a candidate akin to how one defines vector-valued integrals in some cases. Is it clear that one recovers the usual notion when $V$ is a Banach space? One (possible) defect is that it doesn't (to me anyway) suggest a natural definition of a tangent map at a point.
Jul 23, 2014 at 22:38	comment	added	Qiaochu Yuan		I'm not familiar with those hypotheses on $V$ but if they imply that continuous linear functionals separate points, then one candidate for a notion of smooth map $M \to V$ is a map such that composition with all continuous linear functionals $M \to V \to \mathbb{R}$ is smooth.
Jul 23, 2014 at 21:28	history	edited	Keenan Kidwell	CC BY-SA 3.0	added 130 characters in body
Jul 23, 2014 at 21:23	history	asked	Keenan Kidwell	CC BY-SA 3.0