A note on the topology associated with a locally convex space.
We examine the so-called three-space-stability for some classes of linear topological and locally convex spaces for which this problem has not been investigated.
We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.
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