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Nov 29, 2015 at 14:34 comment added Jochen Wengenroth A possible obstacle is the open mapping theorem: An ultrabornological l.c.s. does not have a strictly finer Frechet space topology. One would thus need some finer complete metrizable separable topology e.g. on $s'$, the space of sequences of at most polynomial growth.
Nov 28, 2015 at 7:58 history edited yada CC BY-SA 3.0
added reference
Nov 25, 2015 at 20:25 history edited Pietro Majer CC BY-SA 3.0
fixed grammar
Nov 25, 2015 at 10:21 history asked yada CC BY-SA 3.0